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152695104 = 2634716921
BaseRepresentation
bin10010001100111…
…11000101000000
3101122022201022020
421012133011000
5303042220404
623052441440
73532613142
oct1106370500
9348281266
10152695104
1179213101
1243179280
1325833843
14163cac92
15d612ed9
hex919f140

152695104 has 56 divisors (see below), whose sum is σ = 412626048. Its totient is φ = 49812480.

The previous prime is 152695093. The next prime is 152695117. The reversal of 152695104 is 401596251.

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 7 ways as a sum of consecutive naturals, for example, 564 + ... + 17484.

Almost surely, 2152695104 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 152695104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206313024).

152695104 is an abundant number, since it is smaller than the sum of its proper divisors (259930944).

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

152695104 is a wasteful number, since it uses less digits than its factorization.

152695104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16983 (or 16973 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 152695104 is about 12356.9860402932. The cubic root of 152695104 is about 534.4926088802.

The spelling of 152695104 in words is "one hundred fifty-two million, six hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 16921 33842 50763 67684 101526 135368 203052 270736 406104 541472 795287 812208 1082944 1590574 1624416 2385861 3181148 3248832 4771722 6362296 9543444 12724592 19086888 25449184 38173776 50898368 76347552 152695104