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51149056 = 287172373
BaseRepresentation
bin1100001100011…
…1100100000000
310120020122022111
43003013210000
5101043232211
65024145104
71160521420
oct303074400
9116218274
1051149056
1126966052
1215168194
13a79b41a
146b16480
154755421
hex30c7900

51149056 has 144 divisors (see below), whose sum is σ = 130685184. Its totient is φ = 19464192.

The previous prime is 51149051. The next prime is 51149089. The reversal of 51149056 is 65094115.

It is a super-2 number, since 2×511490562 = 5232451859382272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51149051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700636 + ... + 700708.

It is an arithmetic number, because the mean of its divisors is an integer number (907536).

Almost surely, 251149056 is an apocalyptic number.

51149056 is a gapful number since it is divisible by the number (56) 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 51149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65342592).

51149056 is an abundant number, since it is smaller than the sum of its proper divisors (79536128).

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

51149056 is a wasteful number, since it uses less digits than its factorization.

51149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 51149056 is about 7151.8568218331. The cubic root of 51149056 is about 371.2039089957.

The spelling of 51149056 in words is "fifty-one million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 73 92 112 119 128 136 146 161 184 224 238 256 272 292 322 368 391 448 476 511 544 584 644 736 782 896 952 1022 1088 1168 1241 1288 1472 1564 1679 1792 1904 2044 2176 2336 2482 2576 2737 2944 3128 3358 3808 4088 4352 4672 4964 5152 5474 5888 6256 6716 7616 8176 8687 9344 9928 10304 10948 11753 12512 13432 15232 16352 17374 18688 19856 20608 21896 23506 25024 26864 28543 30464 32704 34748 39712 41216 43792 47012 50048 53728 57086 65408 69496 79424 87584 94024 100096 107456 114172 130816 138992 158848 175168 188048 199801 214912 228344 277984 317696 350336 376096 399602 429824 456688 555968 700672 752192 799204 913376 1111936 1504384 1598408 1826752 2223872 3008768 3196816 3653504 6393632 7307008 12787264 25574528 51149056