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479072992 = 25192113367
BaseRepresentation
bin11100100011100…
…001001011100000
31020101110102121011
4130203201023200
51440120313432
6115312110304
714605024156
oct3443411340
91211412534
10479072992
112264736a2
12114535394
1378338a58
14478a93d6
152c0d2847
hex1c8e12e0

479072992 has 72 divisors (see below), whose sum is σ = 1006973856. Its totient is φ = 224308224.

The previous prime is 479072983. The next prime is 479072999. The reversal of 479072992 is 299270974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479072999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305193 + ... + 1305559.

It is an arithmetic number, because the mean of its divisors is an integer number (13985748).

Almost surely, 2479072992 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 479072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503486928).

479072992 is an abundant number, since it is smaller than the sum of its proper divisors (527900864).

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

479072992 is a wasteful number, since it uses less digits than its factorization.

479072992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 479072992 is about 21887.7361095203. The cubic root of 479072992 is about 782.4691598457.

The spelling of 479072992 in words is "four hundred seventy-nine million, seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 76 113 152 226 304 361 367 452 608 722 734 904 1444 1468 1808 2147 2888 2936 3616 4294 5776 5872 6973 8588 11552 11744 13946 17176 27892 34352 40793 41471 55784 68704 81586 82942 111568 132487 163172 165884 223136 264974 326344 331768 529948 652688 663536 787949 1059896 1305376 1327072 1575898 2119792 3151796 4239584 6303592 12607184 14971031 25214368 29942062 59884124 119768248 239536496 479072992