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3855240675 = 325211133709
BaseRepresentation
bin1110010111001010…
…0100110111100011
3100221200022111222200
43211302210313203
530343420200200
61434315104243
7164352001506
oct34562446743
910850274880
103855240675
1116a9201420
128b7142083
13495939000
1428803113d
151786cd800
hexe5ca4de3

3855240675 has 144 divisors (see below), whose sum is σ = 8171872800. Its totient is φ = 1722988800.

The previous prime is 3855240643. The next prime is 3855240707. The reversal of 3855240675 is 5760425583.

3855240675 is a `hidden beast` number, since 38 + 552 + 4 + 0 + 67 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3855240643) and next prime (3855240707).

It is not a de Polignac number, because 3855240675 - 25 = 3855240643 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3855240675.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5437221 + ... + 5437929.

Almost surely, 23855240675 is an apocalyptic number.

3855240675 is an abundant number, since it is smaller than the sum of its proper divisors (4316632125).

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

3855240675 is a wasteful number, since it uses less digits than its factorization.

3855240675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 3855240675 is about 62090.5844311358. The cubic root of 3855240675 is about 1568.0160308898.

The spelling of 3855240675 in words is "three billion, eight hundred fifty-five million, two hundred forty thousand, six hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 169 195 225 275 325 429 495 507 585 709 715 825 845 975 1287 1521 1859 2127 2145 2197 2475 2535 2925 3545 3575 4225 5577 6381 6435 6591 7605 7799 9217 9295 10635 10725 10985 12675 16731 17725 19773 23397 24167 27651 27885 31905 32175 32955 38025 38995 46085 46475 53175 54925 70191 72501 82953 83655 98865 101387 116985 119821 120835 138255 139425 159525 164775 194975 217503 230425 304161 350955 359463 362505 414765 418275 494325 506935 584925 599105 604175 691275 912483 1078389 1087515 1318031 1520805 1557673 1754775 1797315 1812525 2073825 2534675 2995525 3954093 4562415 4673019 5391945 5437575 6590155 7604025 7788365 8986575 11862279 14019057 17134403 19770465 22812075 23365095 26959725 32950775 38941825 51403209 59311395 70095285 85672015 98852325 116825475 154209627 257016045 296556975 350476425 428360075 771048135 1285080225 3855240675