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152739328 = 297192243
BaseRepresentation
bin10010001101010…
…01111000000000
3101122101221222011
421012221320000
5303100124303
623053422304
73533156110
oct1106517000
9348357864
10152739328
1179243355
124319a994
132584aa01
14163dd040
15d62116d
hex91a9e00

152739328 has 80 divisors (see below), whose sum is σ = 367297920. Its totient is φ = 61986816.

The previous prime is 152739299. The next prime is 152739329. The reversal of 152739328 is 823937251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152739329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66975 + ... + 69217.

It is an arithmetic number, because the mean of its divisors is an integer number (4591224).

Almost surely, 2152739328 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 152739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

152739328 is an abundant number, since it is smaller than the sum of its proper divisors (214558592).

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

152739328 is an equidigital number, since it uses as much as digits as its factorization.

152739328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2271 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 152739328 is about 12358.7753438599. The cubic root of 152739328 is about 534.5442043339.

The spelling of 152739328 in words is "one hundred fifty-two million, seven hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1064 1216 1792 2128 2243 2432 3584 4256 4486 4864 8512 8972 9728 15701 17024 17944 31402 34048 35888 42617 62804 68096 71776 85234 125608 143552 170468 251216 287104 298319 340936 502432 574208 596638 681872 1004864 1148416 1193276 1363744 2009728 2386552 2727488 4019456 4773104 5454976 8038912 9546208 10909952 19092416 21819904 38184832 76369664 152739328