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58393152 = 2632101377
BaseRepresentation
bin1101111011000…
…0001001000000
311001212200100100
43132300021000
5104422040102
65443322400
71306222266
oct336601100
9131780310
1058393152
112aa63704
1217680400
13c13677c
147a80436
1551d6a1c
hex37b0240

58393152 has 42 divisors (see below), whose sum is σ = 167375078. Its totient is φ = 19464192.

The previous prime is 58393151. The next prime is 58393171. The reversal of 58393152 is 25139385.

It can be written as a sum of positive squares in only one way, i.e., 57517056 + 876096 = 7584^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58393151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50113 + ... + 51264.

Almost surely, 258393152 is an apocalyptic number.

It is an amenable number.

58393152 is an abundant number, since it is smaller than the sum of its proper divisors (108981926).

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

58393152 is a wasteful number, since it uses less digits than its factorization.

58393152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101395 (or 101382 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 58393152 is about 7641.5412058040. The cubic root of 58393152 is about 387.9603176195.

The spelling of 58393152 in words is "fifty-eight million, three hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 101377 202754 304131 405508 608262 811016 912393 1216524 1622032 1824786 2433048 3244064 3649572 4866096 6488128 7299144 9732192 14598288 19464384 29196576 58393152