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51376644 = 223211137947
BaseRepresentation
bin1100001111111…
…1001000000100
310120200012111200
43003333020010
5101123023034
65033102500
71162460064
oct303771004
9116605450
1051376644
1127001040
1215257a30
13a84aba7
146b753a4
15479ca99
hex30ff204

51376644 has 72 divisors (see below), whose sum is σ = 142859808. Its totient is φ = 15438720.

The previous prime is 51376631. The next prime is 51376667. The reversal of 51376644 is 44667315.

It is a happy number.

51376644 is a `hidden beast` number, since 5 + 1 + 3 + 7 + 6 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51376599 and 51376608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53779 + ... + 54725.

It is an arithmetic number, because the mean of its divisors is an integer number (1984164).

Almost surely, 251376644 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 51376644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71429904).

51376644 is an abundant number, since it is smaller than the sum of its proper divisors (91483164).

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

51376644 is a wasteful number, since it uses less digits than its factorization.

51376644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1100 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 51376644 is about 7167.7502746678. The cubic root of 51376644 is about 371.7536523685.

It can be divided in two parts, 5137 and 6644, that added together give a triangular number (11781 = T153).

The spelling of 51376644 in words is "fifty-one million, three hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 396 411 548 822 947 1233 1507 1644 1894 2466 2841 3014 3788 4521 4932 5682 6028 8523 9042 10417 11364 13563 17046 18084 20834 27126 31251 34092 41668 54252 62502 93753 125004 129739 187506 259478 375012 389217 518956 778434 1167651 1427129 1556868 2335302 2854258 4281387 4670604 5708516 8562774 12844161 17125548 25688322 51376644