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51458157 = 3237413769
BaseRepresentation
bin1100010001001…
…1000001101101
310120211100022200
43010103001231
5101133130112
65034532113
71163246532
oct304230155
9116740280
1051458157
1127057303
1215297039
13a87901a
146b96d89
1547b6cdc
hex311306d

51458157 has 24 divisors (see below), whose sum is σ = 78219960. Its totient is φ = 32555520.

The previous prime is 51458149. The next prime is 51458191. The reversal of 51458157 is 75185415.

51458157 is a `hidden beast` number, since 51 + 458 + 157 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12595401 + 38862756 = 3549^2 + 6234^2 .

It is not a de Polignac number, because 51458157 - 23 = 51458149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51451157) 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 23 ways as a sum of consecutive naturals, for example, 11769 + ... + 15537.

It is an arithmetic number, because the mean of its divisors is an integer number (3259165).

Almost surely, 251458157 is an apocalyptic number.

It is an amenable number.

51458157 is a deficient number, since it is larger than the sum of its proper divisors (26761803).

51458157 is a wasteful number, since it uses less digits than its factorization.

51458157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3850 counting only the distinct ones).

The product of its digits is 28000, while the sum is 36.

The square root of 51458157 is about 7173.4341148435. The cubic root of 51458157 is about 371.9501537443.

It can be divided in two parts, 51458 and 157, that added together give a palindrome (51615).

The spelling of 51458157 in words is "fifty-one million, four hundred fifty-eight thousand, one hundred fifty-seven".

Divisors: 1 3 9 37 41 111 123 333 369 1517 3769 4551 11307 13653 33921 139453 154529 418359 463587 1255077 1390761 5717573 17152719 51458157