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420667872 = 25341106877
BaseRepresentation
bin11001000100101…
…110000111100000
31002022120010211120
4121010232013200
51330142332442
6105424212240
713265421642
oct3104560740
91068503746
10420667872
111a6501aa9
12b8a6a080
13691c9a01
143dc24892
1526de74ec
hex1912e1e0

420667872 has 48 divisors (see below), whose sum is σ = 1131196752. Its totient is φ = 136801280.

The previous prime is 420667801. The next prime is 420667883. The reversal of 420667872 is 278766024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4206678722 = 353922917066016768, which contains 22 as substring.

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, 49503 + ... + 57374.

It is an arithmetic number, because the mean of its divisors is an integer number (23566599).

Almost surely, 2420667872 is an apocalyptic number.

It is an amenable number.

420667872 is an abundant number, since it is smaller than the sum of its proper divisors (710528880).

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

420667872 is a wasteful number, since it uses less digits than its factorization.

420667872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106931 (or 106923 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 420667872 is about 20510.1894676768. The cubic root of 420667872 is about 749.2839815298.

The spelling of 420667872 in words is "four hundred twenty million, six hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 106877 213754 320631 427508 641262 855016 1282524 1710032 2565048 3420064 4381957 5130096 8763914 10260192 13145871 17527828 26291742 35055656 52583484 70111312 105166968 140222624 210333936 420667872