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51368256 = 2637367
BaseRepresentation
bin1100001111110…
…1000101000000
310120122210000000
43003331011000
5101122241011
65033000000
71162423452
oct303750500
9116583000
1051368256
1126aa5805
1215253000
13a847124
146b722d2
15479a356
hex30fd140

51368256 has 112 divisors (see below), whose sum is σ = 153294080. Its totient is φ = 17076096.

The previous prime is 51368243. The next prime is 51368279. The reversal of 51368256 is 65286315.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (43200) is a multiple of the sum of its prime factors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 51368256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139785 + ... + 140151.

Almost surely, 251368256 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 51368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76647040).

51368256 is an abundant number, since it is smaller than the sum of its proper divisors (101925824).

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

51368256 is an frugal number, since it uses more digits than its factorization.

51368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 372 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 51368256 is about 7167.1651299520. The cubic root of 51368256 is about 371.7334198328.

The spelling of 51368256 in words is "fifty-one million, three hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 367 432 486 576 648 729 734 864 972 1101 1296 1458 1468 1728 1944 2187 2202 2592 2916 2936 3303 3888 4374 4404 5184 5832 5872 6606 7776 8748 8808 9909 11664 11744 13212 15552 17496 17616 19818 23328 23488 26424 29727 34992 35232 39636 46656 52848 59454 69984 70464 79272 89181 105696 118908 139968 158544 178362 211392 237816 267543 317088 356724 475632 535086 634176 713448 802629 951264 1070172 1426896 1605258 1902528 2140344 2853792 3210516 4280688 5707584 6421032 8561376 12842064 17122752 25684128 51368256