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51682848 = 2537210987
BaseRepresentation
bin1100010100100…
…1111000100000
310121020202112120
43011021320200
5101212322343
65043424240
71165203600
oct305117040
9117222476
1051682848
11271a00a8
1215385080
13a927389
146c14c00
15480d683
hex3149e20

51682848 has 72 divisors (see below), whose sum is σ = 157831632. Its totient is φ = 14765184.

The previous prime is 51682847. The next prime is 51682853. The reversal of 51682848 is 84828615.

It is a super-2 number, since 2×516828482 = 5342233554782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (51682847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 790 + ... + 10197.

It is an arithmetic number, because the mean of its divisors is an integer number (2192106).

Almost surely, 251682848 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 51682848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78915816).

51682848 is an abundant number, since it is smaller than the sum of its proper divisors (106148784).

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

51682848 is a wasteful number, since it uses less digits than its factorization.

51682848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 10999 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 51682848 is about 7189.0783832144. The cubic root of 51682848 is about 372.4907386253.

The spelling of 51682848 in words is "fifty-one million, six hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 10987 21974 32961 43948 65922 76909 87896 131844 153818 175792 230727 263688 307636 351584 461454 527376 538363 615272 922908 1054752 1076726 1230544 1615089 1845816 2153452 2461088 3230178 3691632 4306904 6460356 7383264 8613808 12920712 17227616 25841424 51682848