Search a number
-
+
56253960 = 23335721063
BaseRepresentation
bin1101011010010…
…1111000001000
310220211222221000
43112211320020
5103400111320
65325415000
71252102500
oct326457010
9126758830
1056253960
1129832484
1216a0a460
13b867b89
147684a00
154e12c90
hex35a5e08

56253960 has 192 divisors, whose sum is σ = 218332800. Its totient is φ = 12845952.

The previous prime is 56253947. The next prime is 56254001. The reversal of 56253960 is 6935265.

56253960 is a `hidden beast` number, since 5 + 62 + 539 + 60 = 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 47 ways as a sum of consecutive naturals, for example, 52389 + ... + 53451.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 256253960 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 56253960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109166400).

56253960 is an abundant number, since it is smaller than the sum of its proper divisors (162078840).

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

56253960 is a wasteful number, since it uses less digits than its factorization.

56253960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56253960 is about 7500.2639953538. The cubic root of 56253960 is about 383.1637073498.

It can be divided in two parts, 56 and 253960, that added together give a square (254016 = 5042).

The spelling of 56253960 in words is "fifty-six million, two hundred fifty-three thousand, nine hundred sixty".