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152412988 = 227132311039
BaseRepresentation
bin10010001010110…
…10001100111100
3101121210101022111
421011122030330
5303004203423
623042423404
73530326510
oct1105321474
9347711274
10152412988
1179040152
1243061b64
1325765300
1416356140
15d5a960d
hex915a33c

152412988 has 72 divisors (see below), whose sum is σ = 341053440. Its totient is φ = 58294080.

The previous prime is 152412961. The next prime is 152412991. The reversal of 152412988 is 889214251.

It is a super-2 number, since 2×1524129882 = 46459437822176288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152412988.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 146173 + ... + 147211.

Almost surely, 2152412988 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 152412988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170526720).

152412988 is an abundant number, since it is smaller than the sum of its proper divisors (188640452).

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

152412988 is a wasteful number, since it uses less digits than its factorization.

152412988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its digits is 46080, while the sum is 40.

The square root of 152412988 is about 12345.5655196512. The cubic root of 152412988 is about 534.1632338204.

The spelling of 152412988 in words is "one hundred fifty-two million, four hundred twelve thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 169 182 217 338 364 403 434 676 806 868 1039 1183 1612 2078 2366 2821 4156 4732 5239 5642 7273 10478 11284 13507 14546 20956 27014 29092 32209 36673 54028 64418 73346 94549 128836 146692 175591 189098 225463 351182 378196 418717 450926 702364 837434 901852 1229137 1674868 2458274 2931019 4916548 5443321 5862038 10886642 11724076 21773284 38103247 76206494 152412988