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51296320 = 265315171
BaseRepresentation
bin1100001110101…
…1100001000000
310120112010022201
43003223201000
5101112440240
65031242544
71162003645
oct303534100
9116463281
1051296320
1126a56759
1215219454
13a82046a
146b53dcc
154783d9a
hex30eb840

51296320 has 56 divisors (see below), whose sum is σ = 126114048. Its totient is φ = 19852800.

The previous prime is 51296281. The next prime is 51296341. The reversal of 51296320 is 2369215.

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, 7335 + ... + 12505.

Almost surely, 251296320 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 51296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63057024).

51296320 is an abundant number, since it is smaller than the sum of its proper divisors (74817728).

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

51296320 is a wasteful number, since it uses less digits than its factorization.

51296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 51296320 is about 7162.1449301170. The cubic root of 51296320 is about 371.5598138630.

It can be divided in two parts, 5129 and 6320, that added together give a square (11449 = 1072).

The spelling of 51296320 in words is "fifty-one million, two hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 5171 9920 10342 20684 25855 41368 51710 82736 103420 160301 165472 206840 320602 330944 413680 641204 801505 827360 1282408 1603010 1654720 2564816 3206020 5129632 6412040 10259264 12824080 25648160 51296320