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51122560 = 275232151
BaseRepresentation
bin1100001100000…
…1000110000000
310120012021222011
43003001012000
5101041410220
65023422304
71160351236
oct303010600
9116167864
1051122560
1126948155
1215154994
13a78c348
146b0a956
15474c65a
hex30c1180

51122560 has 96 divisors (see below), whose sum is σ = 128605680. Its totient is φ = 19430400.

The previous prime is 51122551. The next prime is 51122573. The reversal of 51122560 is 6522115.

It is a super-2 number, since 2×511225602 = 5227032281907200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338485 + ... + 338635.

Almost surely, 251122560 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 51122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64302840).

51122560 is an abundant number, since it is smaller than the sum of its proper divisors (77483120).

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

51122560 is a wasteful number, since it uses less digits than its factorization.

51122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 51122560 is about 7150.0041958030. The cubic root of 51122560 is about 371.1398014746.

Adding to 51122560 its reverse (6522115), we get a palindrome (57644675).

The spelling of 51122560 in words is "fifty-one million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 151 160 184 230 302 320 368 460 529 604 640 736 755 920 1058 1208 1472 1510 1840 2116 2416 2645 2944 3020 3473 3680 4232 4832 5290 6040 6946 7360 8464 9664 10580 12080 13892 14720 16928 17365 19328 21160 24160 27784 33856 34730 42320 48320 55568 67712 69460 79879 84640 96640 111136 138920 159758 169280 222272 277840 319516 338560 399395 444544 555680 639032 798790 1111360 1278064 1597580 2222720 2556128 3195160 5112256 6390320 10224512 12780640 25561280 51122560