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1464314742 = 2321143117159
BaseRepresentation
bin101011101000111…
…1010101101110110
310210001100220012100
41113101322231312
510444331032432
6401145202530
751200320122
oct12721725566
93701326170
101464314742
11691627380
1234a490446
131a44a9637
14dc694582
158884b07c
hex5747ab76

1464314742 has 48 divisors (see below), whose sum is σ = 3469340160. Its totient is φ = 442676400.

The previous prime is 1464314707. The next prime is 1464314759. The reversal of 1464314742 is 2474134641.

1464314742 is a `hidden beast` number, since 1 + 4 + 643 + 1 + 4 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1464314697 and 1464314706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76759 + ... + 93917.

It is an arithmetic number, because the mean of its divisors is an integer number (72277920).

Almost surely, 21464314742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464314742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734670080).

1464314742 is an abundant number, since it is smaller than the sum of its proper divisors (2005025418).

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

1464314742 is a wasteful number, since it uses less digits than its factorization.

1464314742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17609 (or 17606 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 1464314742 is about 38266.3656753552. The cubic root of 1464314742 is about 1135.5636399145.

The spelling of 1464314742 in words is "one billion, four hundred sixty-four million, three hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 431 862 1293 2586 3879 4741 7758 9482 14223 17159 28446 34318 42669 51477 85338 102954 154431 188749 308862 377498 566247 1132494 1698741 3397482 7395529 14791058 22186587 44373174 66559761 81350819 133119522 162701638 244052457 488104914 732157371 1464314742