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152455104 = 2632614339
BaseRepresentation
bin10010001011001…
…00011111000000
3101121212112002100
421011210133000
5303012030404
623043350400
73530563344
oct1105443700
9347775070
10152455104
117906985a
1243082400
132577b529
1416367624
15d5b6d39
hex91647c0

152455104 has 84 divisors (see below), whose sum is σ = 444251080. Its totient is φ = 49973760.

The previous prime is 152455091. The next prime is 152455123. The reversal of 152455104 is 401554251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32967 + ... + 37305.

Almost surely, 2152455104 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 152455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222125540).

152455104 is an abundant number, since it is smaller than the sum of its proper divisors (291795976).

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

152455104 is a wasteful number, since it uses less digits than its factorization.

152455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 152455104 is about 12347.2711155137. The cubic root of 152455104 is about 534.2124307365.

The spelling of 152455104 in words is "one hundred fifty-two million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4339 4392 5856 8678 8784 11712 13017 17356 17568 26034 34712 35136 39051 52068 69424 78102 104136 138848 156204 208272 264679 277696 312408 416544 529358 624816 794037 833088 1058716 1249632 1588074 2117432 2382111 2499264 3176148 4234864 4764222 6352296 8469728 9528444 12704592 16939456 19056888 25409184 38113776 50818368 76227552 152455104