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152002564 = 2275428663
BaseRepresentation
bin10010000111101…
…10000000000100
3101121000112022121
421003312000010
5302403040224
623025535324
73524000110
oct1103660004
9347015277
10152002564
117888a85a
1242aa4544
132565055c
141628a740
15d527be4
hex90f6004

152002564 has 12 divisors (see below), whose sum is σ = 304005184. Its totient is φ = 65143944.

The previous prime is 152002541. The next prime is 152002567. The reversal of 152002564 is 465200251.

152002564 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (152002567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2714304 + ... + 2714359.

Almost surely, 2152002564 is an apocalyptic number.

152002564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152002564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

152002564 is a wasteful number, since it uses less digits than its factorization.

152002564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428674 (or 5428672 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 152002564 is about 12328.9319894304. The cubic root of 152002564 is about 533.6833305090.

The spelling of 152002564 in words is "one hundred fifty-two million, two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 5428663 10857326 21714652 38000641 76001282 152002564