Search a number
-
+
9250265856 = 283132340283
BaseRepresentation
bin10001001110101101…
…11101101100000000
3212212200000012020010
420213112331230000
5122421032001411
64125521144520
7445141651056
oct104726755400
925780005203
109250265856
113a17596717
121961a8b140
13b455869c0
1463a7601d6
153921647a6
hex2275bdb00

9250265856 has 144 divisors (see below), whose sum is σ = 27666406656. Its totient is φ = 2722418688.

The previous prime is 9250265851. The next prime is 9250265861. The reversal of 9250265856 is 6585620529.

It is an interprime number because it is at equal distance from previous prime (9250265851) and next prime (9250265861).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9250265851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209491 + ... + 249773.

It is an arithmetic number, because the mean of its divisors is an integer number (192127824).

Almost surely, 29250265856 is an apocalyptic number.

9250265856 is a gapful number since it is divisible by the number (96) 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 9250265856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833203328).

9250265856 is an abundant number, since it is smaller than the sum of its proper divisors (18416140800).

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

9250265856 is a wasteful number, since it uses less digits than its factorization.

9250265856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40338 (or 40324 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 9250265856 is about 96178.3024179570. The cubic root of 9250265856 is about 2099.1883375753.

The spelling of 9250265856 in words is "nine billion, two hundred fifty million, two hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 552 598 624 736 768 832 897 1104 1196 1248 1472 1664 1794 2208 2392 2496 2944 3328 3588 4416 4784 4992 5888 7176 8832 9568 9984 14352 17664 19136 28704 38272 40283 57408 76544 80566 114816 120849 161132 229632 241698 322264 483396 523679 644528 926509 966792 1047358 1289056 1571037 1853018 1933584 2094716 2578112 2779527 3142074 3706036 3867168 4189432 5156224 5559054 6284148 7412072 7734336 8378864 10312448 11118108 12044617 12568296 14824144 15468672 16757728 22236216 24089234 25136592 29648288 30937344 33515456 36133851 44472432 48178468 50273184 59296576 67030912 72267702 88944864 96356936 100546368 118593152 134061824 144535404 177889728 192713872 201092736 237186304 289070808 355779456 385427744 402185472 578141616 711558912 770855488 1156283232 1541710976 2312566464 3083421952 4625132928 9250265856