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152385728 = 2611233929
BaseRepresentation
bin10010001010100…
…11100011000000
3101121201222220212
421011103203000
5303002320403
623042053252
73530154155
oct1105234300
9347658825
10152385728
1179021720
124304a228
1325755a91
141634a22c
15d5a14d8
hex91538c0

152385728 has 56 divisors (see below), whose sum is σ = 331652880. Its totient is φ = 68894720.

The previous prime is 152385697. The next prime is 152385791. The reversal of 152385728 is 827583251.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163568 + ... + 164496.

Almost surely, 2152385728 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 152385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

152385728 is an abundant number, since it is smaller than the sum of its proper divisors (179267152).

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

152385728 is a wasteful number, since it uses less digits than its factorization.

152385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1175 counting only the distinct ones).

The product of its digits is 134400, while the sum is 41.

The square root of 152385728 is about 12344.4614301313. The cubic root of 152385728 is about 534.1313857954.

The spelling of 152385728 in words is "one hundred fifty-two million, three hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 233 352 466 704 929 932 1858 1864 2563 3716 3728 5126 7432 7456 10219 10252 14864 14912 20438 20504 29728 40876 41008 59456 81752 82016 163504 164032 216457 327008 432914 654016 865828 1731656 2381027 3463312 4762054 6926624 9524108 13853248 19048216 38096432 76192864 152385728