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51407356 = 227111337347
BaseRepresentation
bin1100010000011…
…0100111111100
310120201202122011
43010012213330
5101130013411
65033501004
71162645450
oct304064774
9116652564
1051407356
1127022120
1215271764
13a85bb70
146b82660
1547a6c21
hex31069fc

51407356 has 96 divisors (see below), whose sum is σ = 124411392. Its totient is φ = 17936640.

The previous prime is 51407341. The next prime is 51407359. The reversal of 51407356 is 65370415.

51407356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51407359) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 147975 + ... + 148321.

It is an arithmetic number, because the mean of its divisors is an integer number (1295952).

Almost surely, 251407356 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 51407356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62205696).

51407356 is an abundant number, since it is smaller than the sum of its proper divisors (73004036).

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

51407356 is a wasteful number, since it uses less digits than its factorization.

51407356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 51407356 is about 7169.8923283408. The cubic root of 51407356 is about 371.8277134140.

The spelling of 51407356 in words is "fifty-one million, four hundred seven thousand, three hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 37 44 52 74 77 91 143 148 154 182 259 286 308 347 364 407 481 518 572 694 814 962 1001 1036 1388 1628 1924 2002 2429 2849 3367 3817 4004 4511 4858 5291 5698 6734 7634 9022 9716 10582 11396 12839 13468 15268 18044 21164 25678 26719 31577 37037 49621 51356 53438 63154 74074 89873 99242 106876 126308 141229 148148 166907 179746 198484 282458 333814 347347 359492 564916 667628 694694 988603 1168349 1389388 1835977 1977206 2336698 3671954 3954412 4673396 7343908 12851839 25703678 51407356