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56809242 = 23371371097
BaseRepresentation
bin1101100010110…
…1011100011010
310221220012122000
43120231130122
5104020343432
65345341430
71256604420
oct330553432
9127805560
1056809242
112a081696
1217037876
13ba00849
14778b110
154ec257c
hex362d71a

56809242 has 64 divisors (see below), whose sum is σ = 145463040. Its totient is φ = 16098048.

The previous prime is 56809217. The next prime is 56809261. The reversal of 56809242 is 24290865.

It is a happy number.

56809242 is a `hidden beast` number, since 568 + 0 + 92 + 4 + 2 = 666.

It is a super-2 number, since 2×568092422 = 6454579953229128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56809197 and 56809206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51238 + ... + 52334.

It is an arithmetic number, because the mean of its divisors is an integer number (2272860).

Almost surely, 256809242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56809242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72731520).

56809242 is an abundant number, since it is smaller than the sum of its proper divisors (88653798).

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

56809242 is a wasteful number, since it uses less digits than its factorization.

56809242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56809242 is about 7537.1905906644. The cubic root of 56809242 is about 384.4203161325.

The spelling of 56809242 in words is "fifty-six million, eight hundred nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 137 189 274 378 411 822 959 1097 1233 1918 2194 2466 2877 3291 3699 5754 6582 7398 7679 8631 9873 15358 17262 19746 23037 25893 29619 46074 51786 59238 69111 138222 150289 207333 300578 414666 450867 901734 1052023 1352601 2104046 2705202 3156069 4057803 6312138 8115606 9468207 18936414 28404621 56809242