Search a number
-
+
51901192 = 2372314271
BaseRepresentation
bin1100010111111…
…1001100001000
310121122212001101
43011333030020
5101241314232
65052231144
71200103300
oct305771410
9117585041
1051901192
112732a152
121546b4b4
13a9a2885
146c70600
1548531e7
hex317f308

51901192 has 48 divisors (see below), whose sum is σ = 116881920. Its totient is φ = 21520800.

The previous prime is 51901181. The next prime is 51901219. The reversal of 51901192 is 29110915.

51901192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 51901192.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10017 + ... + 14287.

It is an arithmetic number, because the mean of its divisors is an integer number (2435040).

Almost surely, 251901192 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 51901192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58440960).

51901192 is an abundant number, since it is smaller than the sum of its proper divisors (64980728).

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

51901192 is a wasteful number, since it uses less digits than its factorization.

51901192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 28.

The square root of 51901192 is about 7204.2481911717. The cubic root of 51901192 is about 373.0145542697.

The spelling of 51901192 in words is "fifty-one million, nine hundred one thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 3038 4271 6076 8542 12152 17084 29897 34168 59794 119588 132401 209279 239176 264802 418558 529604 837116 926807 1059208 1674232 1853614 3707228 6487649 7414456 12975298 25950596 51901192