Search a number
-
+
56324772 = 22327397563
BaseRepresentation
bin1101011011011…
…1001010100100
310220222121001200
43112313022210
5103404343042
65331122500
71252516110
oct326671244
9126877050
1056324772
11298806a9
1216a43430
13b89118a
1476a2740
154e28c4c
hex35b72a4

56324772 has 72 divisors (see below), whose sum is σ = 163415616. Its totient is φ = 16023744.

The previous prime is 56324731. The next prime is 56324783. The reversal of 56324772 is 27742365.

It is a happy number.

56324772 is a `hidden beast` number, since 563 + 24 + 7 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99763 + ... + 100325.

Almost surely, 256324772 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 56324772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81707808).

56324772 is an abundant number, since it is smaller than the sum of its proper divisors (107090844).

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

56324772 is a wasteful number, since it uses less digits than its factorization.

56324772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 56324772 is about 7504.9831445514. The cubic root of 56324772 is about 383.3244143272.

It can be divided in two parts, 5632 and 4772, that added together give a square (10404 = 1022).

The spelling of 56324772 in words is "fifty-six million, three hundred twenty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 397 563 794 1126 1191 1588 1689 2252 2382 2779 3378 3573 3941 4764 5067 5558 6756 7146 7882 8337 10134 11116 11823 14292 15764 16674 20268 23646 25011 33348 35469 47292 50022 70938 100044 141876 223511 447022 670533 894044 1341066 1564577 2011599 2682132 3129154 4023198 4693731 6258308 8046396 9387462 14081193 18774924 28162386 56324772