Search a number
-
+
56146644 = 22325692741
BaseRepresentation
bin1101011000101…
…1101011010100
310220122112201100
43112023223110
5103333143034
65323230100
71251144561
oct326135324
9126575640
1056146644
1129769894
1216978330
13b82b088
147657868
154de1099
hex358bad4

56146644 has 36 divisors (see below), whose sum is σ = 142227540. Its totient is φ = 18675840.

The previous prime is 56146637. The next prime is 56146661. The reversal of 56146644 is 44664165.

56146644 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 6 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12744900 + 43401744 = 3570^2 + 6588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 56146599 and 56146608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19114 + ... + 21854.

It is an arithmetic number, because the mean of its divisors is an integer number (3950765).

Almost surely, 256146644 is an apocalyptic number.

It is an amenable number.

56146644 is an abundant number, since it is smaller than the sum of its proper divisors (86080896).

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

56146644 is a wasteful number, since it uses less digits than its factorization.

56146644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3315 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 56146644 is about 7493.1064319146. The cubic root of 56146644 is about 382.9198977158.

The spelling of 56146644 in words is "fifty-six million, one hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 569 1138 1707 2276 2741 3414 5121 5482 6828 8223 10242 10964 16446 20484 24669 32892 49338 98676 1559629 3119258 4678887 6238516 9357774 14036661 18715548 28073322 56146644