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58986972 = 223211148957
BaseRepresentation
bin1110000100000…
…1000111011100
311002222211220200
43201001013130
5110100040342
65504143500
71314244452
oct341010734
9132884820
1058986972
1130329870
1217907b90
13c2b3b45
147b969d2
1552a294c
hex38411dc

58986972 has 36 divisors (see below), whose sum is σ = 162662136. Its totient is φ = 17874720.

The previous prime is 58986971. The next prime is 58986997. The reversal of 58986972 is 27968985.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58986971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74083 + ... + 74874.

Almost surely, 258986972 is an apocalyptic number.

It is an amenable number.

58986972 is an abundant number, since it is smaller than the sum of its proper divisors (103675164).

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

58986972 is a wasteful number, since it uses less digits than its factorization.

58986972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148978 (or 148973 counting only the distinct ones).

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

The square root of 58986972 is about 7680.2976504820. The cubic root of 58986972 is about 389.2709852648.

The spelling of 58986972 in words is "fifty-eight million, nine hundred eighty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 148957 297914 446871 595828 893742 1340613 1638527 1787484 2681226 3277054 4915581 5362452 6554108 9831162 14746743 19662324 29493486 58986972