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494975232 = 2833193769
BaseRepresentation
bin11101100000001…
…011100100000000
31021111101100101000
4131200023210000
52003203201412
6121041012000
715160135323
oct3540134400
91244340330
10494975232
11234445244
12119924000
137b715c6b
1449a487ba
152d6c44dc
hex1d80b900

494975232 has 144 divisors (see below), whose sum is σ = 1541176000. Its totient is φ = 156266496.

The previous prime is 494975209. The next prime is 494975237. The reversal of 494975232 is 232579494.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (494975237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129444 + ... + 133212.

Almost surely, 2494975232 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 494975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770588000).

494975232 is an abundant number, since it is smaller than the sum of its proper divisors (1046200768).

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

494975232 is a wasteful number, since it uses less digits than its factorization.

494975232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3793 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 494975232 is about 22248.0388349176. The cubic root of 494975232 is about 791.0327954382.

The spelling of 494975232 in words is "four hundred ninety-four million, nine hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 3769 4104 4864 5472 6912 7296 7538 8208 10944 11307 14592 15076 16416 21888 22614 30152 32832 33921 43776 45228 60304 65664 67842 71611 90456 101763 120608 131328 135684 143222 180912 203526 214833 241216 271368 286444 361824 407052 429666 482432 542736 572888 644499 723648 814104 859332 964864 1085472 1145776 1288998 1447296 1628208 1718664 1933497 2170944 2291552 2577996 2894592 3256416 3437328 3866994 4341888 4583104 5155992 6512832 6874656 7733988 8683776 9166208 10311984 13025664 13749312 15467976 18332416 20623968 26051328 27498624 30935952 41247936 54997248 61871904 82495872 123743808 164991744 247487616 494975232