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240925568 = 2713672161
BaseRepresentation
bin11100101110000…
…11101110000000
3121210100021202012
432113003232000
5443134104233
635523512052
75653555622
oct1627035600
9553307665
10240925568
11113aa5a44
1268828628
133abb6210
1423dd6c12
1516240548
hexe5c3b80

240925568 has 64 divisors (see below), whose sum is σ = 524847120. Its totient is φ = 109486080.

The previous prime is 240925523. The next prime is 240925571. The reversal of 240925568 is 865529042.

240925568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2409255682 = 116090258632245248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110408 + ... + 112568.

Almost surely, 2240925568 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 240925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262423560).

240925568 is an abundant number, since it is smaller than the sum of its proper divisors (283921552).

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

240925568 is a wasteful number, since it uses less digits than its factorization.

240925568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 240925568 is about 15521.7772178317. Note that the first 3 decimals coincide. The cubic root of 240925568 is about 622.2443528032.

The spelling of 240925568 in words is "two hundred forty million, nine hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 268 416 536 832 871 1072 1664 1742 2144 2161 3484 4288 4322 6968 8576 8644 13936 17288 27872 28093 34576 55744 56186 69152 111488 112372 138304 144787 224744 276608 289574 449488 579148 898976 1158296 1797952 1882231 2316592 3595904 3764462 4633184 7528924 9266368 15057848 18532736 30115696 60231392 120462784 240925568