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152709872 = 24721091787
BaseRepresentation
bin10010001101000…
…10101011110000
3101122100110120012
421012202223300
5303043203442
623053034052
73533004200
oct1106425360
9348313505
10152709872
1179223207
1243185928
132583a493
14163d2400
15d617582
hex91a2af0

152709872 has 60 divisors (see below), whose sum is σ = 347533560. Its totient is φ = 64810368.

The previous prime is 152709803. The next prime is 152709889. The reversal of 152709872 is 278907251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84563 + ... + 86349.

It is an arithmetic number, because the mean of its divisors is an integer number (5792226).

Almost surely, 2152709872 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 152709872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173766780).

152709872 is an abundant number, since it is smaller than the sum of its proper divisors (194823688).

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

152709872 is a wasteful number, since it uses less digits than its factorization.

152709872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 152709872 is about 12357.5835825618. The cubic root of 152709872 is about 534.5098395841.

The spelling of 152709872 in words is "one hundred fifty-two million, seven hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 392 436 763 784 872 1526 1744 1787 3052 3574 5341 6104 7148 10682 12208 12509 14296 21364 25018 28592 42728 50036 85456 87563 100072 175126 194783 200144 350252 389566 700504 779132 1363481 1401008 1558264 2726962 3116528 5453924 9544367 10907848 19088734 21815696 38177468 76354936 152709872