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492875064 = 233311283733
BaseRepresentation
bin11101011000001…
…010110100111000
31021100102122111000
4131120022310320
52002134000224
6120524005000
715133240353
oct3530126470
91240378430
10492875064
11233240370
12119090760
137b15c066
144965d29a
152d40c0c9
hex1d60ad38

492875064 has 128 divisors (see below), whose sum is σ = 1500883200. Its totient is φ = 148625280.

The previous prime is 492875057. The next prime is 492875081. The reversal of 492875064 is 460578294.

It is a happy number.

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, 672042 + ... + 672774.

It is an arithmetic number, because the mean of its divisors is an integer number (11725650).

Almost surely, 2492875064 is an apocalyptic number.

492875064 is a gapful number since it is divisible by the number (44) 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 492875064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750441600).

492875064 is an abundant number, since it is smaller than the sum of its proper divisors (1008008136).

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

492875064 is a wasteful number, since it uses less digits than its factorization.

492875064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 492875064 is about 22200.7897156835. The cubic root of 492875064 is about 789.9124316760.

The spelling of 492875064 in words is "four hundred ninety-two million, eight hundred seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 283 297 396 566 594 733 792 849 1132 1188 1466 1698 2199 2264 2376 2547 2932 3113 3396 4398 5094 5864 6226 6597 6792 7641 8063 8796 9339 10188 12452 13194 15282 16126 17592 18678 19791 20376 24189 24904 26388 28017 30564 32252 37356 39582 48378 52776 56034 61128 64504 72567 74712 79164 84051 96756 112068 145134 158328 168102 193512 207439 217701 224136 290268 336204 414878 435402 580536 622317 672408 829756 870804 1244634 1659512 1741608 1866951 2281829 2489268 3733902 4563658 4978536 5600853 6845487 7467804 9127316 11201706 13690974 14935608 18254632 20536461 22403412 27381948 41072922 44806824 54763896 61609383 82145844 123218766 164291688 246437532 492875064