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51354336 = 2531124421
BaseRepresentation
bin1100001111100…
…1101011100000
310120122001220110
43003321223200
5101121314321
65032411320
71162335045
oct303715340
9116561813
1051354336
1126a96300
1215246b40
13a8409a7
146b6b1cc
154796176
hex30f9ae0

51354336 has 72 divisors (see below), whose sum is σ = 148207752. Its totient is φ = 15558400.

The previous prime is 51354301. The next prime is 51354343. The reversal of 51354336 is 63345315.

It is a happy number.

51354336 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 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 11 ways as a sum of consecutive naturals, for example, 9406 + ... + 13826.

It is an arithmetic number, because the mean of its divisors is an integer number (2058441).

Almost surely, 251354336 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 51354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74103876).

51354336 is an abundant number, since it is smaller than the sum of its proper divisors (96853416).

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

51354336 is a wasteful number, since it uses less digits than its factorization.

51354336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4437 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 51354336 is about 7166.1939689071. The cubic root of 51354336 is about 371.6998388038.

The spelling of 51354336 in words is "fifty-one million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 4421 5808 8842 11616 13263 17684 26526 35368 48631 53052 70736 97262 106104 141472 145893 194524 212208 291786 389048 424416 534941 583572 778096 1069882 1167144 1556192 1604823 2139764 2334288 3209646 4279528 4668576 6419292 8559056 12838584 17118112 25677168 51354336