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152460264 = 233112712131
BaseRepresentation
bin10010001011001…
…01101111101000
3101121212210011110
421011211233220
5303012212024
623043430320
73530614365
oct1105455750
9347783143
10152460264
1179072720
12430853a0
1325780998
141636946c
15d5b8629
hex9165be8

152460264 has 64 divisors (see below), whose sum is σ = 417530880. Its totient is φ = 46008000.

The previous prime is 152460223. The next prime is 152460271. The reversal of 152460264 is 462064251.

152460264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70479 + ... + 72609.

It is an arithmetic number, because the mean of its divisors is an integer number (6523920).

Almost surely, 2152460264 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 152460264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208765440).

152460264 is an abundant number, since it is smaller than the sum of its proper divisors (265070616).

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

152460264 is a wasteful number, since it uses less digits than its factorization.

152460264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 152460264 is about 12347.4800667991. The cubic root of 152460264 is about 534.2184576584.

The spelling of 152460264 in words is "one hundred fifty-two million, four hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 271 542 813 1084 1626 2131 2168 2981 3252 4262 5962 6393 6504 8524 8943 11924 12786 17048 17886 23441 23848 25572 35772 46882 51144 70323 71544 93764 140646 187528 281292 562584 577501 1155002 1732503 2310004 3465006 4620008 6352511 6930012 12705022 13860024 19057533 25410044 38115066 50820088 76230132 152460264