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51890688 = 293211261
BaseRepresentation
bin1100010111110…
…0101000000000
310121122022122100
43011330220000
5101241000223
65052110400
71200030543
oct305745000
9117568570
1051890688
1127322273
1215465400
13a99ab65
146c6a85a
154850043
hex317ca00

51890688 has 60 divisors (see below), whose sum is σ = 149773338. Its totient is φ = 17295360.

The previous prime is 51890659. The next prime is 51890693. The reversal of 51890688 is 88609815.

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 23503104 = 5328^2 + 4848^2 .

It is a super-2 number, since 2×518906882 = 5385287002226688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1023 + ... + 10238.

Almost surely, 251890688 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 51890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74886669).

51890688 is an abundant number, since it is smaller than the sum of its proper divisors (97882650).

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

51890688 is a wasteful number, since it uses less digits than its factorization.

51890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11285 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 51890688 is about 7203.5191399760. The cubic root of 51890688 is about 372.9893884429.

The spelling of 51890688 in words is "fifty-one million, eight hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 11261 22522 33783 45044 67566 90088 101349 135132 180176 202698 270264 360352 405396 540528 720704 810792 1081056 1441408 1621584 2162112 2882816 3243168 4324224 5765632 6486336 8648448 12972672 17296896 25945344 51890688