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51380736 = 293113041
BaseRepresentation
bin1100010000000…
…0001000000000
310120200102010020
43010000020000
5101123140421
65033133440
71162505031
oct304001000
9116612106
1051380736
1127004120
121525a280
13a84ca04
146b76a88
15479ddc6
hex3100200

51380736 has 80 divisors (see below), whose sum is σ = 149374368. Its totient is φ = 15564800.

The previous prime is 51380717. The next prime is 51380737. The reversal of 51380736 is 63708315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 51380697 and 51380706.

It is not an unprimeable number, because it can be changed into a prime (51380737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15376 + ... + 18416.

Almost surely, 251380736 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 51380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74687184).

51380736 is an abundant number, since it is smaller than the sum of its proper divisors (97993632).

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

51380736 is a wasteful number, since it uses less digits than its factorization.

51380736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 51380736 is about 7168.0357141967. The cubic root of 51380736 is about 371.7635218049.

The spelling of 51380736 in words is "fifty-one million, three hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 3041 4224 5632 6082 8448 9123 12164 16896 18246 24328 33451 36492 48656 66902 72984 97312 100353 133804 145968 194624 200706 267608 291936 389248 401412 535216 583872 778496 802824 1070432 1167744 1556992 1605648 2140864 2335488 3211296 4281728 4670976 6422592 8563456 12845184 17126912 25690368 51380736