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51538872 = 2337111672
BaseRepresentation
bin1100010010011…
…0101110111000
310120222110001010
43010212232320
5101143220442
65040353520
71164034050
oct304465670
9116873033
1051538872
1127101a10
12153158a0
13a8a6998
146bb8560
1547d0b9c
hex3126bb8

51538872 has 96 divisors (see below), whose sum is σ = 161608320. Its totient is φ = 13306560.

The previous prime is 51538859. The next prime is 51538873. The reversal of 51538872 is 27883515.

51538872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51538872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51538873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308533 + ... + 308699.

It is an arithmetic number, because the mean of its divisors is an integer number (1683420).

Almost surely, 251538872 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 51538872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80804160).

51538872 is an abundant number, since it is smaller than the sum of its proper divisors (110069448).

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

51538872 is a wasteful number, since it uses less digits than its factorization.

51538872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 190 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 51538872 is about 7179.0578769084. The cubic root of 51538872 is about 372.1445270308.

The spelling of 51538872 in words is "fifty-one million, five hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 167 168 231 264 308 334 462 501 616 668 924 1002 1169 1336 1837 1848 2004 2338 3507 3674 4008 4676 5511 7014 7348 9352 11022 12859 14028 14696 22044 25718 27889 28056 38577 44088 51436 55778 77154 83667 102872 111556 154308 167334 195223 223112 306779 308616 334668 390446 585669 613558 669336 780892 920337 1171338 1227116 1561784 1840674 2147453 2342676 2454232 3681348 4294906 4685352 6442359 7362696 8589812 12884718 17179624 25769436 51538872