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424285664 = 25111279491
BaseRepresentation
bin11001010010100…
…001010111100000
31002120100221111212
4121102201113200
51332104120124
6110033525252
713341240305
oct3122412740
91076327455
10424285664
111a8553110
12ba113828
1369b9560a
14404c70ac
15273ae40e
hex194a15e0

424285664 has 48 divisors (see below), whose sum is σ = 918521856. Its totient is φ = 191318400.

The previous prime is 424285651. The next prime is 424285699. The reversal of 424285664 is 466582424.

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, 39959 + ... + 49449.

It is an arithmetic number, because the mean of its divisors is an integer number (19135872).

Almost surely, 2424285664 is an apocalyptic number.

424285664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459260928).

424285664 is an abundant number, since it is smaller than the sum of its proper divisors (494236192).

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

424285664 is a wasteful number, since it uses less digits than its factorization.

424285664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9639 (or 9631 counting only the distinct ones).

The product of its digits is 368640, while the sum is 41.

The square root of 424285664 is about 20598.1956491339. The cubic root of 424285664 is about 751.4258292598.

The spelling of 424285664 in words is "four hundred twenty-four million, two hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 508 1016 1397 2032 2794 4064 5588 9491 11176 18982 22352 37964 44704 75928 104401 151856 208802 303712 417604 835208 1205357 1670416 2410714 3340832 4821428 9642856 13258927 19285712 26517854 38571424 53035708 106071416 212142832 424285664