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51290368 = 282331281
BaseRepresentation
bin1100001110101…
…0000100000000
310120111211011021
43003222010000
5101112242433
65031155224
71161650413
oct303520400
9116454137
1051290368
1126a52238
1215215b14
13a81a83c
146b51b7a
15478222d
hex30ea100

51290368 has 72 divisors (see below), whose sum is σ = 110670336. Its totient is φ = 23654400.

The previous prime is 51290363. The next prime is 51290381. The reversal of 51290368 is 86309215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51290363) 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, 182388 + ... + 182668.

It is an arithmetic number, because the mean of its divisors is an integer number (1537088).

Almost surely, 251290368 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 51290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55335168).

51290368 is an abundant number, since it is smaller than the sum of its proper divisors (59379968).

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

51290368 is a wasteful number, since it uses less digits than its factorization.

51290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 51290368 is about 7161.7294000821. The cubic root of 51290368 is about 371.5454423996.

The spelling of 51290368 in words is "fifty-one million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 256 281 368 496 562 713 736 992 1124 1426 1472 1984 2248 2852 2944 3968 4496 5704 5888 6463 7936 8711 8992 11408 12926 17422 17984 22816 25852 34844 35968 45632 51704 69688 71936 91264 103408 139376 182528 200353 206816 278752 400706 413632 557504 801412 827264 1115008 1602824 1654528 2230016 3205648 6411296 12822592 25645184 51290368