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9264803040 = 2532559109049
BaseRepresentation
bin10001010000011100…
…11010110011100000
3212220200100202111100
420220032122303200
5122433242144130
64131200514400
7445406345403
oct105016326340
925820322440
109264803040
113a24815719
12196691ba00
13b485a679c
1463c665d3a
15393586c60
hex22839ace0

9264803040 has 144 divisors (see below), whose sum is σ = 32152302000. Its totient is φ = 2428717056.

The previous prime is 9264803033. The next prime is 9264803063. The reversal of 9264803040 is 403084629.

It is a happy number.

9264803040 is a `hidden beast` number, since 9 + 2 + 648 + 0 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9264802986 and 9264803004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30436 + ... + 139484.

It is an arithmetic number, because the mean of its divisors is an integer number (223279875).

Almost surely, 29264803040 is an apocalyptic number.

9264803040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9264803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076151000).

9264803040 is an abundant number, since it is smaller than the sum of its proper divisors (22887498960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9264803040 is a wasteful number, since it uses less digits than its factorization.

9264803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109129 (or 109118 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9264803040 is about 96253.8468841635. The cubic root of 9264803040 is about 2100.2874164433.

Adding to 9264803040 its reverse (403084629), we get a palindrome (9667887669).

The spelling of 9264803040 in words is "nine billion, two hundred sixty-four million, eight hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 72 80 90 96 118 120 144 160 177 180 236 240 288 295 354 360 472 480 531 590 708 720 885 944 1062 1180 1416 1440 1770 1888 2124 2360 2655 2832 3540 4248 4720 5310 5664 7080 8496 9440 10620 14160 16992 21240 28320 42480 84960 109049 218098 327147 436196 545245 654294 872392 981441 1090490 1308588 1635735 1744784 1962882 2180980 2617176 3271470 3489568 3925764 4361960 4907205 5234352 6433891 6542940 7851528 8723920 9814410 10468704 12867782 13085880 15703056 17447840 19301673 19628820 25735564 26171760 31406112 32169455 38603346 39257640 51471128 52343520 57905019 64338910 77206692 78515280 96508365 102942256 115810038 128677820 154413384 157030560 193016730 205884512 231620076 257355640 289525095 308826768 386033460 463240152 514711280 579050190 617653536 772066920 926480304 1029422560 1158100380 1544133840 1852960608 2316200760 3088267680 4632401520 9264803040