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58201038 = 2337791949
BaseRepresentation
bin1101111000000…
…1001111001110
311001111220211000
43132001033032
5104344413123
65435241130
71304462220
oct336011716
9131456730
1058201038
112a942335
12175a91a6
13c09a1ac
147a30410
155199b43
hex37813ce

58201038 has 64 divisors (see below), whose sum is σ = 149760000. Its totient is φ = 16409952.

The previous prime is 58201027. The next prime is 58201051. The reversal of 58201038 is 83010285.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28888 + ... + 30836.

It is an arithmetic number, because the mean of its divisors is an integer number (2340000).

Almost surely, 258201038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58201038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880000).

58201038 is an abundant number, since it is smaller than the sum of its proper divisors (91558962).

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

58201038 is a wasteful number, since it uses less digits than its factorization.

58201038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58201038 is about 7628.9604796460. The cubic root of 58201038 is about 387.5343858490.

The spelling of 58201038 in words is "fifty-eight million, two hundred one thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 711 1106 1422 1659 1949 2133 3318 3898 4266 4977 5847 9954 11694 13643 14931 17541 27286 29862 35082 40929 52623 81858 105246 122787 153971 245574 307942 368361 461913 736722 923826 1077797 1385739 2155594 2771478 3233391 4157217 6466782 8314434 9700173 19400346 29100519 58201038