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51337056 = 2533797149
BaseRepresentation
bin1100001111010…
…1011101100000
310120121012012110
43003311131200
5101120241211
65032155320
71162233501
oct303653540
9116535173
1051337056
1126a84321
1215238b40
13a835b74
146b64ba8
154790ea6
hex30f5760

51337056 has 96 divisors (see below), whose sum is σ = 140767200. Its totient is φ = 16367616.

The previous prime is 51337037. The next prime is 51337067. The reversal of 51337056 is 65073315.

51337056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344470 + ... + 344618.

It is an arithmetic number, because the mean of its divisors is an integer number (1466325).

Almost surely, 251337056 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 51337056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70383600).

51337056 is an abundant number, since it is smaller than the sum of its proper divisors (89430144).

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

51337056 is a wasteful number, since it uses less digits than its factorization.

51337056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 51337056 is about 7164.9882065500. The cubic root of 51337056 is about 371.6581435660.

The spelling of 51337056 in words is "fifty-one million, three hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 97 111 148 149 194 222 291 296 298 388 444 447 582 592 596 776 888 894 1164 1184 1192 1552 1776 1788 2328 2384 3104 3552 3576 3589 4656 4768 5513 7152 7178 9312 10767 11026 14304 14356 14453 16539 21534 22052 28712 28906 33078 43068 43359 44104 57424 57812 66156 86136 86718 88208 114848 115624 132312 172272 173436 176416 231248 264624 344544 346872 462496 529248 534761 693744 1069522 1387488 1604283 2139044 3208566 4278088 6417132 8556176 12834264 17112352 25668528 51337056