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152058912 = 2534767503
BaseRepresentation
bin10010001000000…
…11110000100000
3101121010101121120
421010003300200
5302411341122
623031052240
73524323305
oct1104036040
9347111546
10152058912
1178919125
1242b11080
13256700b5
14162a30ac
15d53975c
hex9103c20

152058912 has 96 divisors (see below), whose sum is σ = 414554112. Its totient is φ = 48770304.

The previous prime is 152058899. The next prime is 152058917. The reversal of 152058912 is 219850251.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (152058917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302053 + ... + 302555.

It is an arithmetic number, because the mean of its divisors is an integer number (4318272).

Almost surely, 2152058912 is an apocalyptic number.

152058912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152058912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

152058912 is an abundant number, since it is smaller than the sum of its proper divisors (262495200).

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

152058912 is a wasteful number, since it uses less digits than its factorization.

152058912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 152058912 is about 12331.2169715726. The cubic root of 152058912 is about 533.7492685922.

The spelling of 152058912 in words is "one hundred fifty-two million, fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 67 94 96 134 141 188 201 268 282 376 402 503 536 564 752 804 1006 1072 1128 1504 1509 1608 2012 2144 2256 3018 3149 3216 4024 4512 6036 6298 6432 8048 9447 12072 12596 16096 18894 23641 24144 25192 33701 37788 47282 48288 50384 67402 70923 75576 94564 100768 101103 134804 141846 151152 189128 202206 269608 283692 302304 378256 404412 539216 567384 756512 808824 1078432 1134768 1583947 1617648 2269536 3167894 3235296 4751841 6335788 9503682 12671576 19007364 25343152 38014728 50686304 76029456 152058912