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51744320 = 2651011601
BaseRepresentation
bin1100010101100…
…0111001000000
310121100212212022
43011120321000
5101221304240
65045021012
71165551035
oct305307100
9117325768
1051744320
1127232301
12153b4768
13a949354
146c2d38c
1548219b5
hex3158e40

51744320 has 56 divisors (see below), whose sum is σ = 124513848. Its totient is φ = 20480000.

The previous prime is 51744313. The next prime is 51744331. The reversal of 51744320 is 2344715.

It can be written as a sum of positive squares in 4 ways, for example, as 35808256 + 15936064 = 5984^2 + 3992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51744320.

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, 31520 + ... + 33120.

Almost surely, 251744320 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 51744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62256924).

51744320 is an abundant number, since it is smaller than the sum of its proper divisors (72769528).

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

51744320 is a wasteful number, since it uses less digits than its factorization.

51744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 51744320 is about 7193.3524868451. The cubic root of 51744320 is about 372.6383612849.

The spelling of 51744320 in words is "fifty-one million, seven hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1601 1616 2020 3202 3232 4040 6404 6464 8005 8080 12808 16010 16160 25616 32020 32320 51232 64040 102464 128080 161701 256160 323402 512320 646804 808505 1293608 1617010 2587216 3234020 5174432 6468040 10348864 12936080 25872160 51744320