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425411808 = 25317463563
BaseRepresentation
bin11001010110110…
…100010011100000
31002122111011021220
4121112310103200
51332401134213
6110114015040
713353640443
oct3126642340
91078434256
10425411808
111a9152208
12ba577480
136a19b083
14406db65a
1527532e23
hex195b44e0

425411808 has 96 divisors (see below), whose sum is σ = 1187053056. Its totient is φ = 132937728.

The previous prime is 425411797. The next prime is 425411821. The reversal of 425411808 is 808114524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 755335 + ... + 755897.

It is an arithmetic number, because the mean of its divisors is an integer number (12365136).

Almost surely, 2425411808 is an apocalyptic number.

425411808 is a gapful number since it is divisible by the number (48) 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 425411808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593526528).

425411808 is an abundant number, since it is smaller than the sum of its proper divisors (761641248).

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

425411808 is a wasteful number, since it uses less digits than its factorization.

425411808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 425411808 is about 20625.5135208799. The cubic root of 425411808 is about 752.0900563643.

The spelling of 425411808 in words is "four hundred twenty-five million, four hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 463 544 563 816 926 1126 1389 1632 1689 1852 2252 2778 3378 3704 4504 5556 6756 7408 7871 9008 9571 11112 13512 14816 15742 18016 19142 22224 23613 27024 28713 31484 38284 44448 47226 54048 57426 62968 76568 94452 114852 125936 153136 188904 229704 251872 260669 306272 377808 459408 521338 755616 782007 918816 1042676 1564014 2085352 3128028 4170704 4431373 6256056 8341408 8862746 12512112 13294119 17725492 25024224 26588238 35450984 53176476 70901968 106352952 141803936 212705904 425411808