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51960400 = 2452129901
BaseRepresentation
bin1100011000110…
…1101001010000
310121202212021021
43012031221100
5101300213100
65053405224
71200441022
oct306155120
9117685237
1051960400
112736a688
1215499814
13a9c37cb
146c88012
154865a1a
hex318da50

51960400 has 30 divisors (see below), whose sum is σ = 124835822. Its totient is φ = 20784000.

The previous prime is 51960379. The next prime is 51960413. The reversal of 51960400 is 406915.

It can be written as a sum of positive squares in 3 ways, for example, as 7551504 + 44408896 = 2748^2 + 6664^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 64551 + ... + 65350.

Almost surely, 251960400 is an apocalyptic number.

51960400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51960400 is an abundant number, since it is smaller than the sum of its proper divisors (72875422).

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

51960400 is a wasteful number, since it uses less digits than its factorization.

51960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129919 (or 129908 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 51960400 is about 7208.3562620059. The cubic root of 51960400 is about 373.1563432599.

The spelling of 51960400 in words is "fifty-one million, nine hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 129901 259802 519604 649505 1039208 1299010 2078416 2598020 3247525 5196040 6495050 10392080 12990100 25980200 51960400