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58379664 = 2437293593
BaseRepresentation
bin1101111010110…
…0110110010000
311001211222211210
43132230312100
5104421122124
65443140120
71306135050
oct336546620
9131758753
1058379664
112aa54562
1217674640
13c1305a5
147a79560
1551d2a29
hex37acd90

58379664 has 80 divisors (see below), whose sum is σ = 173238912. Its totient is φ = 16594944.

The previous prime is 58379663. The next prime is 58379677. The reversal of 58379664 is 46697385.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58379663) 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, 98152 + ... + 98744.

Almost surely, 258379664 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 58379664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456).

58379664 is an abundant number, since it is smaller than the sum of its proper divisors (114859248).

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

58379664 is a wasteful number, since it uses less digits than its factorization.

58379664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 58379664 is about 7640.6586103555. The cubic root of 58379664 is about 387.9304441866.

The spelling of 58379664 in words is "fifty-eight million, three hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 293 336 586 593 879 1172 1186 1758 1779 2051 2344 2372 3516 3558 4102 4151 4688 4744 6153 7032 7116 8204 8302 9488 12306 12453 14064 14232 16408 16604 24612 24906 28464 32816 33208 49224 49812 66416 98448 99624 173749 199248 347498 521247 694996 1042494 1216243 1389992 2084988 2432486 2779984 3648729 4169976 4864972 7297458 8339952 9729944 14594916 19459888 29189832 58379664