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58372864 = 2811191091
BaseRepresentation
bin1101111010101…
…1001100000000
311001211122111221
43132223030000
5104420412424
65443044424
71306106164
oct336531400
9131748457
1058372864
112aa4a440
1217670714
13c12a474
147a76ca4
1551d09e4
hex37ab300

58372864 has 72 divisors (see below), whose sum is σ = 133922880. Its totient is φ = 25113600.

The previous prime is 58372861. The next prime is 58372877. The reversal of 58372864 is 46827385.

It is a self number, because there is not a number n which added to its sum of digits gives 58372864.

It is not an unprimeable number, because it can be changed into a prime (58372861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52959 + ... + 54049.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 258372864 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 58372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66961440).

58372864 is an abundant number, since it is smaller than the sum of its proper divisors (75550016).

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

58372864 is a wasteful number, since it uses less digits than its factorization.

58372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1123 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 58372864 is about 7640.2136095793. The cubic root of 58372864 is about 387.9153816959.

The spelling of 58372864 in words is "fifty-eight million, three hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 608 704 836 1091 1216 1408 1672 2182 2432 2816 3344 4364 4864 6688 8728 12001 13376 17456 20729 24002 26752 34912 41458 48004 53504 69824 82916 96008 139648 165832 192016 228019 279296 331664 384032 456038 663328 768064 912076 1326656 1536128 1824152 2653312 3072256 3648304 5306624 7296608 14593216 29186432 58372864