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51506420 = 2257794657
BaseRepresentation
bin1100010001111…
…0110011110100
310120220210112012
43010132303310
5101141201140
65035543352
71163540330
oct304366364
9116823465
1051506420
112708a599
12152bab58
13a894c94
146baa7c0
1547c6265
hex311ecf4

51506420 has 48 divisors (see below), whose sum is σ = 125207040. Its totient is φ = 17432064.

The previous prime is 51506401. The next prime is 51506431. The reversal of 51506420 is 2460515.

It is a super-2 number, since 2×515064202 = 5305822602432800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8732 + ... + 13388.

It is an arithmetic number, because the mean of its divisors is an integer number (2608480).

Almost surely, 251506420 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 51506420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62603520).

51506420 is an abundant number, since it is smaller than the sum of its proper divisors (73700620).

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

51506420 is a wasteful number, since it uses less digits than its factorization.

51506420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 51506420 is about 7176.7973358595. The cubic root of 51506420 is about 372.0664023754.

Adding to 51506420 its reverse (2460515), we get a palindrome (53966935).

The spelling of 51506420 in words is "fifty-one million, five hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 4657 5530 9314 11060 18628 23285 32599 46570 65198 93140 130396 162995 325990 367903 651980 735806 1471612 1839515 2575321 3679030 5150642 7358060 10301284 12876605 25753210 51506420