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152674272 = 25321927901
BaseRepresentation
bin10010001100110…
…01111111100000
3101122021122201200
421012121333200
5303041034042
623052201200
73532465332
oct1106317740
9348248650
10152674272
11791a9493
1243169200
132582720a
14163c3452
15d60bc4c
hex9199fe0

152674272 has 72 divisors (see below), whose sum is σ = 457034760. Its totient is φ = 48211200.

The previous prime is 152674271. The next prime is 152674279. The reversal of 152674272 is 272476251.

It is a happy number.

152674272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152674271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8479 + ... + 19422.

It is an arithmetic number, because the mean of its divisors is an integer number (6347705).

Almost surely, 2152674272 is an apocalyptic number.

152674272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152674272 is an abundant number, since it is smaller than the sum of its proper divisors (304360488).

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

152674272 is a wasteful number, since it uses less digits than its factorization.

152674272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27936 (or 27925 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 152674272 is about 12356.1430875496. The cubic root of 152674272 is about 534.4683010578.

The spelling of 152674272 in words is "one hundred fifty-two million, six hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 27901 55802 83703 111604 167406 223208 251109 334812 446416 502218 530119 669624 892832 1004436 1060238 1339248 1590357 2008872 2120476 2678496 3180714 4017744 4240952 4771071 6361428 8035488 8481904 9542142 12722856 16963808 19084284 25445712 38168568 50891424 76337136 152674272