Search a number
-
+
56297472 = 2113721117
BaseRepresentation
bin1101011011000…
…0100000000000
310220221012121120
43112300200000
5103403004342
65330352240
71252343400
oct326604000
9126835546
1056297472
1129862140
1216a2b680
13b88191a
147696800
154e20aec
hex35b0800

56297472 has 288 divisors, whose sum is σ = 201670560. Its totient is φ = 13762560.

The previous prime is 56297471. The next prime is 56297477. The reversal of 56297472 is 27479265.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (211680) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56297471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3311608 + ... + 3311624.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 256297472 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 56297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

56297472 is an abundant number, since it is smaller than the sum of its proper divisors (145373088).

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

56297472 is a wasteful number, since it uses less digits than its factorization.

56297472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 56297472 is about 7503.1641325510. The cubic root of 56297472 is about 383.2624732706.

The spelling of 56297472 in words is "fifty-six million, two hundred ninety-seven thousand, four hundred seventy-two".