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51494976 = 2632132232
BaseRepresentation
bin1100010001110…
…0000001000000
310120220012211100
43010130001000
5101140314401
65035414400
71163462061
oct304340100
9116805740
1051494976
1127081a35
12152b4400
13a88ca00
146ba6568
1547c2b86
hex311c040

51494976 has 189 divisors, whose sum is σ = 167079549. Its totient is φ = 15155712.

The previous prime is 51494969. The next prime is 51494983. The reversal of 51494976 is 67949415.

The square root of 51494976 is 7176.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (51494969) and next prime (51494983).

It can be written as a sum of positive squares in only one way, i.e., 7617600 + 43877376 = 2760^2 + 6624^2 .

Its product of digits (272160) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2238901 + ... + 2238923.

Almost surely, 251494976 is an apocalyptic number.

51494976 is the 7176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51494976

51494976 is an abundant number, since it is smaller than the sum of its proper divisors (115584573).

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

51494976 is a wasteful number, since it uses less digits than its factorization.

51494976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The cubic root of 51494976 is about 372.0388443655.

The spelling of 51494976 in words is "fifty-one million, four hundred ninety-four thousand, nine hundred seventy-six".