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706593664 = 2773125439
BaseRepresentation
bin101010000111011…
…100001110000000
31211020120200021201
4222013130032000
52421341444124
6154040430544
723336642560
oct5207341600
91736520251
10706593664
11332943307
12178778454
13b350a67a
1469bb2da0
1542076144
hex2a1dc380

706593664 has 64 divisors (see below), whose sum is σ = 1660723200. Its totient is φ = 293045760.

The previous prime is 706593659. The next prime is 706593689. The reversal of 706593664 is 466395607.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15057 + ... + 40495.

It is an arithmetic number, because the mean of its divisors is an integer number (25948800).

Almost surely, 2706593664 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 706593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830361600).

706593664 is an abundant number, since it is smaller than the sum of its proper divisors (954129536).

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

706593664 is a wasteful number, since it uses less digits than its factorization.

706593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25491 (or 25479 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The square root of 706593664 is about 26581.8295833827. The cubic root of 706593664 is about 890.6831702792.

The spelling of 706593664 in words is "seven hundred six million, five hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 25439 27776 50878 101756 178073 203512 356146 407024 712292 788609 814048 1424584 1577218 1628096 2849168 3154436 3256192 5520263 5698336 6308872 11040526 11396672 12617744 22081052 22793344 25235488 44162104 50470976 88324208 100941952 176648416 353296832 706593664