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58869792 = 2532712879
BaseRepresentation
bin1110000010010…
…0100000100000
311002202220011200
43200210200200
5110032313132
65501441200
71313246022
oct340444040
9132686150
1058869792
1130259823
1217870200
13c2726c7
147b66012
15527cd7c
hex3824820

58869792 has 72 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 19340160.

The previous prime is 58869779. The next prime is 58869799. The reversal of 58869792 is 29796885.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58869799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19009 + ... + 21887.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 258869792 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 58869792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

58869792 is an abundant number, since it is smaller than the sum of its proper divisors (110958048).

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

58869792 is a wasteful number, since it uses less digits than its factorization.

58869792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2955 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 58869792 is about 7672.6652474873. The cubic root of 58869792 is about 389.0130468812.

The spelling of 58869792 in words is "fifty-eight million, eight hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 2879 3408 5112 5758 6816 8637 10224 11516 17274 20448 23032 25911 34548 46064 51822 69096 92128 103644 138192 204409 207288 276384 408818 414576 613227 817636 829152 1226454 1635272 1839681 2452908 3270544 3679362 4905816 6541088 7358724 9811632 14717448 19623264 29434896 58869792