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152501152 = 2517319043
BaseRepresentation
bin10010001011011…
…11101110100000
3101121221212020211
421011233232200
5303020014102
623044343504
73531144526
oct1105575640
9347855224
10152501152
11790a0411
12430a4b94
132579648b
141637a316
15d5c57d7
hex916fba0

152501152 has 48 divisors (see below), whose sum is σ = 328188672. Its totient is φ = 69442560.

The previous prime is 152501149. The next prime is 152501171. The reversal of 152501152 is 251105251.

It is a happy number.

152501152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1525011522 = 46513202722654208, which contains 22 as substring.

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, 12343 + ... + 21385.

It is an arithmetic number, because the mean of its divisors is an integer number (6837264).

Almost surely, 2152501152 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 152501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094336).

152501152 is an abundant number, since it is smaller than the sum of its proper divisors (175687520).

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

152501152 is a wasteful number, since it uses less digits than its factorization.

152501152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101 (or 9093 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 152501152 is about 12349.1356782570. The cubic root of 152501152 is about 534.2662103675.

The spelling of 152501152 in words is "one hundred fifty-two million, five hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 8432 9043 16864 18086 36172 72344 144688 153731 280333 289376 307462 560666 614924 1121332 1229848 2242664 2459696 4485328 4765661 4919392 8970656 9531322 19062644 38125288 76250576 152501152