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51260496 = 243741612
BaseRepresentation
bin1100001110001…
…0110001010000
310120110022011220
43003202301100
5101110313441
65030405040
71161464340
oct303426120
9116408156
1051260496
1126a31851
1215200780
13a80a071
146b44d20
154778466
hex30e2c50

51260496 has 120 divisors (see below), whose sum is σ = 157614912. Its totient is φ = 14054400.

The previous prime is 51260477. The next prime is 51260497. The reversal of 51260496 is 69406215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51260497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840306 + ... + 840366.

Almost surely, 251260496 is an apocalyptic number.

51260496 is a gapful number since it is divisible by the number (56) 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 51260496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78807456).

51260496 is an abundant number, since it is smaller than the sum of its proper divisors (106354416).

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

51260496 is a wasteful number, since it uses less digits than its factorization.

51260496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 51260496 is about 7159.6435665472. The cubic root of 51260496 is about 371.4732978543.

The spelling of 51260496 in words is "fifty-one million, two hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 61 82 84 112 122 123 164 168 183 244 246 287 328 336 366 427 488 492 574 656 732 854 861 976 984 1148 1281 1464 1708 1722 1968 2296 2501 2562 2928 3416 3444 3721 4592 5002 5124 6832 6888 7442 7503 10004 10248 11163 13776 14884 15006 17507 20008 20496 22326 26047 29768 30012 35014 40016 44652 52094 52521 59536 60024 70028 78141 89304 104188 105042 120048 140056 152561 156282 178608 208376 210084 280112 305122 312564 416752 420168 457683 610244 625128 840336 915366 1067927 1220488 1250256 1830732 2135854 2440976 3203781 3661464 4271708 6407562 7322928 8543416 12815124 17086832 25630248 51260496