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152048676 = 2231323311367
BaseRepresentation
bin10010001000000…
…01010000100100
3101121002212120110
421010001100210
5302411024201
623030533020
73524251413
oct1104012044
9347085513
10152048676
117891146a
1242b07170
1325668540
141629d47a
15d5366d6
hex9101424

152048676 has 96 divisors (see below), whose sum is σ = 411844608. Its totient is φ = 43274880.

The previous prime is 152048669. The next prime is 152048683. The reversal of 152048676 is 676840251.

It is an interprime number because it is at equal distance from previous prime (152048669) and next prime (152048683).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110545 + ... + 111911.

It is an arithmetic number, because the mean of its divisors is an integer number (4290048).

Almost surely, 2152048676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152048676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205922304).

152048676 is an abundant number, since it is smaller than the sum of its proper divisors (259795932).

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

152048676 is a wasteful number, since it uses less digits than its factorization.

152048676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 152048676 is about 12330.8019203943. The cubic root of 152048676 is about 533.7372916989.

The spelling of 152048676 in words is "one hundred fifty-two million, forty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 23 26 31 39 46 52 62 69 78 92 93 124 138 156 186 276 299 372 403 598 713 806 897 1196 1209 1367 1426 1612 1794 2139 2418 2734 2852 3588 4101 4278 4836 5468 8202 8556 9269 16404 17771 18538 27807 31441 35542 37076 42377 53313 55614 62882 71084 84754 94323 106626 111228 125764 127131 169508 188646 213252 254262 377292 408733 508524 550901 817466 974671 1101802 1226199 1634932 1652703 1949342 2203604 2452398 2924013 3305406 3898684 4904796 5848026 6610812 11696052 12670723 25341446 38012169 50682892 76024338 152048676