Search a number
-
+
51538536 = 23327102259
BaseRepresentation
bin1100010010011…
…0101001101000
310120222102120200
43010212221220
5101143213121
65040352200
71164033060
oct304465150
9116872520
1051538536
1127101735
1215315660
13a8a679a
146bb83a0
1547d0a26
hex3126a68

51538536 has 48 divisors (see below), whose sum is σ = 159525600. Its totient is φ = 14725152.

The previous prime is 51538519. The next prime is 51538541. The reversal of 51538536 is 63583515.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51538536.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 50626 + ... + 51633.

It is an arithmetic number, because the mean of its divisors is an integer number (3323450).

Almost surely, 251538536 is an apocalyptic number.

51538536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51538536 is an abundant number, since it is smaller than the sum of its proper divisors (107987064).

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

51538536 is a wasteful number, since it uses less digits than its factorization.

51538536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102278 (or 102271 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 51538536 is about 7179.0344754709. The cubic root of 51538536 is about 372.1437183155.

It can be divided in two parts, 5153 and 8536, that added together give a square (13689 = 1172).

The spelling of 51538536 in words is "fifty-one million, five hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 102259 204518 306777 409036 613554 715813 818072 920331 1227108 1431626 1840662 2147439 2454216 2863252 3681324 4294878 5726504 6442317 7362648 8589756 12884634 17179512 25769268 51538536