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152005828 = 221311172617
BaseRepresentation
bin10010000111101…
…10110011000100
3101121000200210111
421003312303010
5302403141303
623030002404
73524012452
oct1103666304
9347020714
10152005828
1178892257
1242aa6404
1325651ba0
141628b9d2
15d528b6d
hex90f6cc4

152005828 has 24 divisors (see below), whose sum is σ = 286838552. Its totient is φ = 70066944.

The previous prime is 152005793. The next prime is 152005829. The reversal of 152005828 is 828500251.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 144432324 = 2752^2 + 12018^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152005828.

It is not an unprimeable number, because it can be changed into a prime (152005829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56776 + ... + 59392.

Almost surely, 2152005828 is an apocalyptic number.

It is an amenable number.

152005828 is a deficient number, since it is larger than the sum of its proper divisors (134832724).

152005828 is a wasteful number, since it uses less digits than its factorization.

152005828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 152005828 is about 12329.0643602830. The cubic root of 152005828 is about 533.6871504663.

The spelling of 152005828 in words is "one hundred fifty-two million, five thousand, eight hundred twenty-eight".

Divisors: 1 2 4 13 26 52 1117 2234 2617 4468 5234 10468 14521 29042 34021 58084 68042 136084 2923189 5846378 11692756 38001457 76002914 152005828