Search a number
-
+
2852653680 = 2433512710399
BaseRepresentation
bin1010101000001000…
…0000101001110000
321100210202211012000
42222002000221300
521320234404210
61151022134000
7130456104402
oct25202005160
97323684160
102852653680
111234280a28
12677421300
13366004476
141d0c0cb72
1511a68aac0
hexaa080a70

2852653680 has 160 divisors (see below), whose sum is σ = 9904128000. Its totient is φ = 754645248.

The previous prime is 2852653663. The next prime is 2852653681. The reversal of 2852653680 is 863562582.

2852653680 is a `hidden beast` number, since 28 + 5 + 265 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852653681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269121 + ... + 279519.

It is an arithmetic number, because the mean of its divisors is an integer number (61900800).

Almost surely, 22852653680 is an apocalyptic number.

2852653680 is a gapful number since it is divisible by the number (20) 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 2852653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952064000).

2852653680 is an abundant number, since it is smaller than the sum of its proper divisors (7051474320).

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

2852653680 is a wasteful number, since it uses less digits than its factorization.

2852653680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2852653680 is about 53410.2394677275. The cubic root of 2852653680 is about 1418.2398478138.

The spelling of 2852653680 in words is "two billion, eight hundred fifty-two million, six hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 180 216 240 254 270 360 381 432 508 540 635 720 762 1016 1080 1143 1270 1524 1905 2032 2160 2286 2540 3048 3429 3810 4572 5080 5715 6096 6858 7620 9144 10160 10399 11430 13716 15240 17145 18288 20798 22860 27432 30480 31197 34290 41596 45720 51995 54864 62394 68580 83192 91440 93591 103990 124788 137160 155985 166384 187182 207980 249576 274320 280773 311970 374364 415960 467955 499152 561546 623940 748728 831920 935910 1123092 1247880 1320673 1403865 1497456 1871820 2246184 2495760 2641346 2807730 3743640 3962019 4492368 5282692 5615460 6603365 7487280 7924038 10565384 11230920 11886057 13206730 15848076 19810095 21130768 22461840 23772114 26413460 31696152 35658171 39620190 47544228 52826920 59430285 63392304 71316342 79240380 95088456 105653840 118860570 142632684 158480760 178290855 190176912 237721140 285265368 316961520 356581710 475442280 570530736 713163420 950884560 1426326840 2852653680