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51936400 = 2452129841
BaseRepresentation
bin1100011000011…
…1110010010000
310121201122100101
43012013302100
5101243431100
65053102144
71200311035
oct306076220
9117648311
1051936400
112735364a
1215487954
13a9b58c9
146c7d38c
15485d86a
hex3187c90

51936400 has 30 divisors (see below), whose sum is σ = 124778162. Its totient is φ = 20774400.

The previous prime is 51936397. The next prime is 51936407. The reversal of 51936400 is 463915.

It can be written as a sum of positive squares in 3 ways, for example, as 6130576 + 45805824 = 2476^2 + 6768^2 .

It is not an unprimeable number, because it can be changed into a prime (51936407) 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 5 ways as a sum of consecutive naturals, for example, 64521 + ... + 65320.

Almost surely, 251936400 is an apocalyptic number.

51936400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51936400 is an abundant number, since it is smaller than the sum of its proper divisors (72841762).

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

51936400 is a wasteful number, since it uses less digits than its factorization.

51936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129859 (or 129848 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 51936400 is about 7206.6913351413. The cubic root of 51936400 is about 373.0988819916.

The spelling of 51936400 in words is "fifty-one million, nine hundred thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 129841 259682 519364 649205 1038728 1298410 2077456 2596820 3246025 5193640 6492050 10387280 12984100 25968200 51936400