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51137376 = 253737297
BaseRepresentation
bin1100001100010…
…0101101100000
310120020001021220
43003010231200
5101042344001
65024015040
71160442363
oct303045540
9116201256
1051137376
11269582a4
1215161480
13a796004
146b120da
154751c36
hex30c4b60

51137376 has 48 divisors (see below), whose sum is σ = 136093104. Its totient is φ = 16809984.

The previous prime is 51137369. The next prime is 51137399. The reversal of 51137376 is 67373115.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3360 + ... + 10656.

It is an arithmetic number, because the mean of its divisors is an integer number (2835273).

Almost surely, 251137376 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 51137376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68046552).

51137376 is an abundant number, since it is smaller than the sum of its proper divisors (84955728).

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

51137376 is a wasteful number, since it uses less digits than its factorization.

51137376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383 (or 7375 counting only the distinct ones).

The product of its digits is 13230, while the sum is 33.

The square root of 51137376 is about 7151.0402040542. The cubic root of 51137376 is about 371.1756517670.

The spelling of 51137376 in words is "fifty-one million, one hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 7297 14594 21891 29188 43782 58376 87564 116752 175128 233504 350256 532681 700512 1065362 1598043 2130724 3196086 4261448 6392172 8522896 12784344 17045792 25568688 51137376