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51031456 = 257317349
BaseRepresentation
bin1100001010101…
…0110110100000
310120000122222221
43002222312200
5101031001311
65021440424
71156521520
oct302526640
9116018887
1051031456
1126895763
1215110114
13a759a38
146ac5680
154730671
hex30aada0

51031456 has 48 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 21162240.

The previous prime is 51031451. The next prime is 51031481. The reversal of 51031456 is 65413015.

It is a self number, because there is not a number n which added to its sum of digits gives 51031456.

It is not an unprimeable number, because it can be changed into a prime (51031451) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3270 + ... + 10618.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 251031456 is an apocalyptic number.

51031456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51031456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

51031456 is an abundant number, since it is smaller than the sum of its proper divisors (67509344).

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

51031456 is a wasteful number, since it uses less digits than its factorization.

51031456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 51031456 is about 7143.6304495683. The cubic root of 51031456 is about 370.9192046338.

The spelling of 51031456 in words is "fifty-one million, thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 7349 14698 29396 51443 58792 102886 117584 205772 227819 235168 411544 455638 823088 911276 1594733 1646176 1822552 3189466 3645104 6378932 7290208 12757864 25515728 51031456