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152247264 = 25313121993
BaseRepresentation
bin10010001001100…
…01101111100000
3101121110221222120
421010301233200
5302433403024
623035104240
73526036401
oct1104615740
9347427876
10152247264
1178a37694
1242ba2080
1325707a50
14163119a8
15d575479
hex9131be0

152247264 has 48 divisors (see below), whose sum is σ = 430394832. Its totient is φ = 46844928.

The previous prime is 152247259. The next prime is 152247289. The reversal of 152247264 is 462742251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59749 + ... + 62244.

It is an arithmetic number, because the mean of its divisors is an integer number (8966559).

Almost surely, 2152247264 is an apocalyptic number.

It is an amenable number.

152247264 is an abundant number, since it is smaller than the sum of its proper divisors (278147568).

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

152247264 is a wasteful number, since it uses less digits than its factorization.

152247264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122019 (or 122011 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 152247264 is about 12338.8518104401. The cubic root of 152247264 is about 533.9695587860.

The spelling of 152247264 in words is "one hundred fifty-two million, two hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 121993 243986 365979 487972 731958 975944 1463916 1585909 1951888 2927832 3171818 3903776 4757727 5855664 6343636 9515454 11711328 12687272 19030908 25374544 38061816 50749088 76123632 152247264