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58240072 = 23113137577
BaseRepresentation
bin1101111000101…
…0110001001000
311001120220100201
43132022301020
5104402140242
65440141544
71305014062
oct336126110
9131526321
1058240072
112a9696a0
12176078b4
13c0b1ba7
147a40732
1551a64b7
hex378ac48

58240072 has 64 divisors (see below), whose sum is σ = 126512640. Its totient is φ = 24883200.

The previous prime is 58240069. The next prime is 58240099. The reversal of 58240072 is 27004285.

It is a self number, because there is not a number n which added to its sum of digits gives 58240072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100648 + ... + 101224.

It is an arithmetic number, because the mean of its divisors is an integer number (1976760).

Almost surely, 258240072 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 58240072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63256320).

58240072 is an abundant number, since it is smaller than the sum of its proper divisors (68272568).

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

58240072 is a wasteful number, since it uses less digits than its factorization.

58240072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 58240072 is about 7631.5183286159. The cubic root of 58240072 is about 387.6210030711.

The spelling of 58240072 in words is "fifty-eight million, two hundred forty thousand, seventy-two".

Divisors: 1 2 4 8 11 22 31 37 44 62 74 88 124 148 248 296 341 407 577 682 814 1147 1154 1364 1628 2294 2308 2728 3256 4588 4616 6347 9176 12617 12694 17887 21349 25234 25388 35774 42698 50468 50776 71548 85396 100936 143096 170792 196757 234839 393514 469678 661819 787028 939356 1323638 1574056 1878712 2647276 5294552 7280009 14560018 29120036 58240072