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56242660 = 22519891663
BaseRepresentation
bin1101011010001…
…1000111100100
310220211102102111
43112203013210
5103344231120
65325250404
71252024525
oct326430744
9126742374
1056242660
1129824a41
1216a03a04
13b8629a6
14768084c
154e0e75a
hex35a31e4

56242660 has 48 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 21060864.

The previous prime is 56242643. The next prime is 56242663. The reversal of 56242660 is 6624265.

56242660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56242663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32989 + ... + 34651.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 256242660 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 56242660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

56242660 is an abundant number, since it is smaller than the sum of its proper divisors (69555740).

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

56242660 is a wasteful number, since it uses less digits than its factorization.

56242660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 56242660 is about 7499.5106507025. The cubic root of 56242660 is about 383.1380496608.

The spelling of 56242660 in words is "fifty-six million, two hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 380 445 890 1663 1691 1780 3326 3382 6652 6764 8315 8455 16630 16910 31597 33260 33820 63194 126388 148007 157985 296014 315970 592028 631940 740035 1480070 2812133 2960140 5624266 11248532 14060665 28121330 56242660