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2152949904 = 2432717125639
BaseRepresentation
bin1000000001010011…
…0110100010010000
312120001011012001100
42000110312202100
513402123344104
6553345104400
7104231525610
oct20024664220
95501135040
102152949904
11a05314146
12501028100
13284069b71
14165d10a40
15c9026139
hex80536890

2152949904 has 120 divisors (see below), whose sum is σ = 7291140480. Its totient is φ = 578939904.

The previous prime is 2152949849. The next prime is 2152949959. The reversal of 2152949904 is 4099492512.

2152949904 is a `hidden beast` number, since 2 + 152 + 9 + 499 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2152949849) and next prime (2152949959).

It is a self number, because there is not a number n which added to its sum of digits gives 2152949904.

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, 45684 + ... + 79955.

It is an arithmetic number, because the mean of its divisors is an integer number (60759504).

Almost surely, 22152949904 is an apocalyptic number.

2152949904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2152949904 is an abundant number, since it is smaller than the sum of its proper divisors (5138190576).

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

2152949904 is a wasteful number, since it uses less digits than its factorization.

2152949904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125677 (or 125668 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2152949904 is about 46399.8912067690. The cubic root of 2152949904 is about 1291.2528948817.

The spelling of 2152949904 in words is "two billion, one hundred fifty-two million, nine hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 125639 251278 376917 502556 753834 879473 1005112 1130751 1507668 1758946 2010224 2135863 2261502 2638419 3015336 3517892 4271726 4523004 5276838 6030672 6407589 7035784 7915257 8543452 9046008 10553676 12815178 14071568 14951041 15830514 17086904 18092016 19222767 21107352 25630356 29902082 31661028 34173808 38445534 42214704 44853123 51260712 59804164 63322056 76891068 89706246 102521424 119608328 126644112 134559369 153782136 179412492 239216656 269118738 307564272 358824984 538237476 717649968 1076474952 2152949904