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58372704 = 2533135197
BaseRepresentation
bin1101111010101…
…1001001100000
311001211122022000
43132223021200
5104420411304
65443044000
71306105545
oct336531140
9131748260
1058372704
112aa4a305
1217670600
13c12a380
147a76bcc
1551d0939
hex37ab260

58372704 has 96 divisors (see below), whose sum is σ = 183385440. Its totient is φ = 17957376.

The previous prime is 58372649. The next prime is 58372709. The reversal of 58372704 is 40727385.

58372704 is a `hidden beast` number, since 583 + 7 + 2 + 70 + 4 = 666.

58372704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58372709) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8634 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (1910265).

Almost surely, 258372704 is an apocalyptic number.

58372704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58372704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91692720).

58372704 is an abundant number, since it is smaller than the sum of its proper divisors (125012736).

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

58372704 is a wasteful number, since it uses less digits than its factorization.

58372704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 58372704 is about 7640.2031386606. The cubic root of 58372704 is about 387.9150272702.

The spelling of 58372704 in words is "fifty-eight million, three hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5197 5616 10394 11232 15591 20788 31182 41576 46773 62364 67561 83152 93546 124728 135122 140319 166304 187092 202683 249456 270244 280638 374184 405366 498912 540488 561276 608049 748368 810732 1080976 1122552 1216098 1496736 1621464 1824147 2161952 2245104 2432196 3242928 3648294 4490208 4864392 6485856 7296588 9728784 14593176 19457568 29186352 58372704