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426431640 = 23355367049
BaseRepresentation
bin11001011010101…
…101010010011000
31002201101222020110
4121122231102120
51333131303030
6110151524320
713365415635
oct3132552230
91081358213
10426431640
111a9789448
12ba9896a0
136a46731b
14408c518c
15276851b0
hex196ad498

426431640 has 64 divisors (see below), whose sum is σ = 1303452000. Its totient is φ = 111567872.

The previous prime is 426431597. The next prime is 426431641. The reversal of 426431640 is 46134624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 426431598 and 426431607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426431641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27165 + ... + 39884.

Almost surely, 2426431640 is an apocalyptic number.

426431640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426431640 is an abundant number, since it is smaller than the sum of its proper divisors (877020360).

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

426431640 is a wasteful number, since it uses less digits than its factorization.

426431640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67116 (or 67112 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 426431640 is about 20650.2213063202. The cubic root of 426431640 is about 752.6905673653.

The spelling of 426431640 in words is "four hundred twenty-six million, four hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 67049 134098 201147 268196 335245 402294 536392 670490 804588 1005735 1340980 1609176 2011470 2681960 3553597 4022940 7107194 8045880 10660791 14214388 17767985 21321582 28428776 35535970 42643164 53303955 71071940 85286328 106607910 142143880 213215820 426431640