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51290064 = 2433722423
BaseRepresentation
bin1100001110100…
…1111111010000
310120111210202000
43003221333100
5101112240224
65031154000
71161646500
oct303517720
9116453660
1051290064
1126a51a91
1215215900
13a81a667
146b51a00
1547820c9
hex30e9fd0

51290064 has 120 divisors (see below), whose sum is σ = 171328320. Its totient is φ = 14648256.

The previous prime is 51290053. The next prime is 51290119. The reversal of 51290064 is 46009215.

51290064 is a `hidden beast` number, since 512 + 90 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19957 + ... + 22379.

It is an arithmetic number, because the mean of its divisors is an integer number (1427736).

Almost surely, 251290064 is an apocalyptic number.

51290064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51290064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85664160).

51290064 is an abundant number, since it is smaller than the sum of its proper divisors (120038256).

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

51290064 is a wasteful number, since it uses less digits than its factorization.

51290064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51290064 is about 7161.7081761267. The cubic root of 51290064 is about 371.5447083434.

Adding to 51290064 its reverse (46009215), we get a palindrome (97299279).

The spelling of 51290064 in words is "fifty-one million, two hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2423 2646 3024 3528 4846 5292 7056 7269 9692 10584 14538 16961 19384 21168 21807 29076 33922 38768 43614 50883 58152 65421 67844 87228 101766 116304 118727 130842 135688 152649 174456 203532 237454 261684 271376 305298 348912 356181 407064 457947 474908 523368 610596 712362 814128 915894 949816 1046736 1068543 1221192 1424724 1831788 1899632 2137086 2442384 2849448 3205629 3663576 4274172 5698896 6411258 7327152 8548344 12822516 17096688 25645032 51290064