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152678016 = 2732132533
BaseRepresentation
bin10010001100110…
…10111010000000
3101122021211212100
421012122322000
5303041144031
623052230400
73532512261
oct1106327200
9348254770
10152678016
1179201287
124316b400
1325828b2a
14163c4968
15d60cde6
hex919ae80

152678016 has 48 divisors (see below), whose sum is σ = 439350210. Its totient is φ = 50892288.

The previous prime is 152677999. The next prime is 152678023. The reversal of 152678016 is 610876251.

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 28132416 = 11160^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 65115 + ... + 67418.

Almost surely, 2152678016 is an apocalyptic number.

152678016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152678016 is an abundant number, since it is smaller than the sum of its proper divisors (286672194).

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

152678016 is a wasteful number, since it uses less digits than its factorization.

152678016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132553 (or 132538 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 152678016 is about 12356.2945902079. The cubic root of 152678016 is about 534.4726699077.

The spelling of 152678016 in words is "one hundred fifty-two million, six hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 132533 265066 397599 530132 795198 1060264 1192797 1590396 2120528 2385594 3180792 4241056 4771188 6361584 8482112 9542376 12723168 16964224 19084752 25446336 38169504 50892672 76339008 152678016