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5642568 = 2333151173
BaseRepresentation
bin10101100001100101001000
3101121200011000
4111201211020
52421030233
6320535000
765650431
oct25414510
911550130
105642568
113204388
121a81460
1312273c9
14a6c488
15766d13
hex561948

5642568 has 64 divisors (see below), whose sum is σ = 15868800. Its totient is φ = 1857600.

The previous prime is 5642531. The next prime is 5642591. The reversal of 5642568 is 8652465.

5642568 is a `hidden beast` number, since 5 + 642 + 5 + 6 + 8 = 666.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32530 + ... + 32702.

It is an arithmetic number, because the mean of its divisors is an integer number (247950).

Almost surely, 25642568 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 5642568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934400).

5642568 is an abundant number, since it is smaller than the sum of its proper divisors (10226232).

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

5642568 is a wasteful number, since it uses less digits than its factorization.

5642568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5642568 is about 2375.4090174115. The cubic root of 5642568 is about 178.0296209595.

It can be divided in two parts, 56 and 42568, that added together give a palindrome (42624).

The spelling of 5642568 in words is "five million, six hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 173 216 302 346 453 519 604 692 906 1038 1208 1359 1384 1557 1812 2076 2718 3114 3624 4077 4152 4671 5436 6228 8154 9342 10872 12456 16308 18684 26123 32616 37368 52246 78369 104492 156738 208984 235107 313476 470214 626952 705321 940428 1410642 1880856 2821284 5642568