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51380256 = 25317191657
BaseRepresentation
bin1100010000000…
…0000000100000
310120200101110110
43010000000200
5101123132011
65033131320
71162503444
oct304000040
9116611413
1051380256
1127003824
1215259b40
13a84c725
146b76824
15479dba6
hex3100020

51380256 has 96 divisors (see below), whose sum is σ = 150413760. Its totient is φ = 15261696.

The previous prime is 51380249. The next prime is 51380269. The reversal of 51380256 is 65208315.

It is a tau number, because it is divible by the number of its divisors (96).

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, 30180 + ... + 31836.

It is an arithmetic number, because the mean of its divisors is an integer number (1566810).

Almost surely, 251380256 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 51380256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75206880).

51380256 is an abundant number, since it is smaller than the sum of its proper divisors (99033504).

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

51380256 is a wasteful number, since it uses less digits than its factorization.

51380256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 51380256 is about 7168.0022321425. The cubic root of 51380256 is about 371.7623641269.

The spelling of 51380256 in words is "fifty-one million, three hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1657 1824 1938 2584 3314 3876 4971 5168 6628 7752 9942 10336 13256 15504 19884 26512 28169 31008 31483 39768 53024 56338 62966 79536 84507 94449 112676 125932 159072 169014 188898 225352 251864 338028 377796 450704 503728 535211 676056 755592 901408 1007456 1070422 1352112 1511184 1605633 2140844 2704224 3022368 3211266 4281688 6422532 8563376 12845064 17126752 25690128 51380256