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264290742 = 2339974909
BaseRepresentation
bin11111100000011…
…00000110110110
3200102022100202000
433300030012312
51020124300432
642120400130
76356301642
oct1760140666
9612270660
10264290742
11126204601
1274616046
13429a7271
1427159c22
151830857c
hexfc0c1b6

264290742 has 32 divisors (see below), whose sum is σ = 588021600. Its totient is φ = 87990624.

The previous prime is 264290737. The next prime is 264290743. The reversal of 264290742 is 247092462.

264290742 is a `hidden beast` number, since 2 + 642 + 9 + 0 + 7 + 4 + 2 = 666.

264290742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264290697 and 264290706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264290743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51384 + ... + 56292.

It is an arithmetic number, because the mean of its divisors is an integer number (18375675).

Almost surely, 2264290742 is an apocalyptic number.

264290742 is an abundant number, since it is smaller than the sum of its proper divisors (323730858).

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

264290742 is a wasteful number, since it uses less digits than its factorization.

264290742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 264290742 is about 16257.0213138816. The cubic root of 264290742 is about 641.7422758002.

The spelling of 264290742 in words is "two hundred sixty-four million, two hundred ninety thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 997 1994 2991 4909 5982 8973 9818 14727 17946 26919 29454 44181 53838 88362 132543 265086 4894273 9788546 14682819 29365638 44048457 88096914 132145371 264290742