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58293264 = 2431398737
BaseRepresentation
bin1101111001011…
…1110000010000
311001200121022210
43132113300100
5104410341024
65441232120
71305325131
oct336276020
9131617283
1058293264
112a9a5657
1217632640
13c100173
147a55c88
1551b7129
hex3797c10

58293264 has 40 divisors (see below), whose sum is σ = 151691680. Its totient is φ = 19289088.

The previous prime is 58293259. The next prime is 58293281. The reversal of 58293264 is 46239285.

It is a happy number.

58293264 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2304 + ... + 11040.

It is an arithmetic number, because the mean of its divisors is an integer number (3792292).

Almost surely, 258293264 is an apocalyptic number.

It is an amenable number.

58293264 is an abundant number, since it is smaller than the sum of its proper divisors (93398416).

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

58293264 is a wasteful number, since it uses less digits than its factorization.

58293264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8881 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 58293264 is about 7635.0025540271. The cubic root of 58293264 is about 387.7389748948.

Subtracting from 58293264 its sum of digits (39), we obtain a square (58293225 = 76352).

The spelling of 58293264 in words is "fifty-eight million, two hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6672 8737 17474 26211 34948 52422 69896 104844 139792 209688 419376 1214443 2428886 3643329 4857772 7286658 9715544 14573316 19431088 29146632 58293264