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152335992 = 233234153127
BaseRepresentation
bin10010001010001…
…11011001111000
3101121122110200210
421011013121320
5302444222432
623041031120
73526556154
oct1105073170
9347573623
10152335992
1178a98316
12430254a0
1325739253
1416336064
15d5918cc
hex9147678

152335992 has 128 divisors (see below), whose sum is σ = 418037760. Its totient is φ = 46126080.

The previous prime is 152335991. The next prime is 152335999. The reversal of 152335992 is 299533251.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 152335992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152335991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199433 + ... + 1199559.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2152335992 is an apocalyptic number.

152335992 is a gapful number since it is divisible by the number (12) 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 152335992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

152335992 is an abundant number, since it is smaller than the sum of its proper divisors (265701768).

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

152335992 is a wasteful number, since it uses less digits than its factorization.

152335992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its digits is 72900, while the sum is 39.

The square root of 152335992 is about 12342.4467590507. The cubic root of 152335992 is about 534.0732691340.

The spelling of 152335992 in words is "one hundred fifty-two million, three hundred thirty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 53 69 82 92 106 123 127 138 159 164 184 212 246 254 276 318 328 381 424 492 508 552 636 762 943 984 1016 1219 1272 1524 1886 2173 2438 2829 2921 3048 3657 3772 4346 4876 5207 5658 5842 6519 6731 7314 7544 8692 8763 9752 10414 11316 11684 13038 13462 14628 15621 17384 17526 20193 20828 22632 23368 26076 26924 29256 31242 35052 40386 41656 49979 52152 53848 62484 70104 80772 99958 119761 124968 149937 154813 161544 199916 239522 275971 299874 309626 359283 399832 464439 479044 551942 599748 619252 718566 827913 928878 958088 1103884 1199496 1238504 1437132 1655826 1857756 2207768 2874264 3311652 3715512 6347333 6623304 12694666 19041999 25389332 38083998 50778664 76167996 152335992