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58316016 = 24311195813
BaseRepresentation
bin1101111001110…
…1010011110000
311001201202112110
43132131103300
5104412103031
65441525320
71305451353
oct336352360
9131652473
1058316016
112aa10760
1217643840
13c10a625
147a6029a
1551bdc46
hex379d4f0

58316016 has 80 divisors (see below), whose sum is σ = 173024640. Its totient is φ = 16738560.

The previous prime is 58316003. The next prime is 58316047. The reversal of 58316016 is 61061385.

It is a super-2 number, since 2×583160162 = 6801515444224512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7126 + ... + 12938.

It is an arithmetic number, because the mean of its divisors is an integer number (2162808).

Almost surely, 258316016 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 58316016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86512320).

58316016 is an abundant number, since it is smaller than the sum of its proper divisors (114708624).

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

58316016 is a wasteful number, since it uses less digits than its factorization.

58316016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 58316016 is about 7636.4923885250. The cubic root of 58316016 is about 387.7894134822.

The spelling of 58316016 in words is "fifty-eight million, three hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 5813 10032 11626 17439 23252 34878 46504 63943 69756 93008 110447 127886 139512 191829 220894 255772 279024 331341 383658 441788 511544 662682 767316 883576 1023088 1214917 1325364 1534632 1767152 2429834 2650728 3069264 3644751 4859668 5301456 7289502 9719336 14579004 19438672 29158008 58316016