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51862272 = 283711877
BaseRepresentation
bin1100010111010…
…1101100000000
310121120212122220
43011311230000
5101234043042
65051331040
71166551650
oct305655400
9117525586
1051862272
1127302990
1215450a80
13a98ac47
146c60360
1548468ec
hex3175b00

51862272 has 144 divisors (see below), whose sum is σ = 172284672. Its totient is φ = 13455360.

The previous prime is 51862259. The next prime is 51862277. The reversal of 51862272 is 27226815.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (51862277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58698 + ... + 59574.

Almost surely, 251862272 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 51862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86142336).

51862272 is an abundant number, since it is smaller than the sum of its proper divisors (120422400).

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

51862272 is a wasteful number, since it uses less digits than its factorization.

51862272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 51862272 is about 7201.5465005789. The cubic root of 51862272 is about 372.9212914351.

The spelling of 51862272 in words is "fifty-one million, eight hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 877 896 924 1056 1232 1344 1408 1754 1792 1848 2112 2464 2631 2688 2816 3508 3696 4224 4928 5262 5376 6139 7016 7392 8448 9647 9856 10524 12278 14032 14784 18417 19294 19712 21048 24556 28064 28941 29568 36834 38588 42096 49112 56128 57882 59136 67529 73668 77176 84192 98224 112256 115764 135058 147336 154352 168384 196448 202587 224512 231528 270116 294672 308704 336768 392896 405174 463056 540232 589344 617408 673536 785792 810348 926112 1080464 1178688 1234816 1571584 1620696 1852224 2160928 2357376 2469632 3241392 3704448 4321856 4714752 6482784 7408896 8643712 12965568 17287424 25931136 51862272