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426428392 = 23131371732
BaseRepresentation
bin11001011010101…
…100011111101000
31002201101210210011
4121122230133220
51333131202032
6110151501304
713365403315
oct3132543750
91081353704
10426428392
111a9786a65
12ba987834
136a4659c0
14408c3d0c
1527684247
hex196ac7e8

426428392 has 48 divisors (see below), whose sum is σ = 872384940. Its totient is φ = 194247168.

The previous prime is 426428389. The next prime is 426428399. The reversal of 426428392 is 293824624.

It can be written as a sum of positive squares in 6 ways, for example, as 343509156 + 82919236 = 18534^2 + 9106^2 .

It is not an unprimeable number, because it can be changed into a prime (426428399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464818 + ... + 2464990.

Almost surely, 2426428392 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 426428392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436192470).

426428392 is an abundant number, since it is smaller than the sum of its proper divisors (445956548).

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

426428392 is a wasteful number, since it uses less digits than its factorization.

426428392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 325 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 426428392 is about 20650.1426629455. The cubic root of 426428392 is about 752.6886563554.

The spelling of 426428392 in words is "four hundred twenty-six million, four hundred twenty-eight thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 137 173 274 346 548 692 1096 1384 1781 2249 3562 4498 7124 8996 14248 17992 23701 29929 47402 59858 94804 119716 189608 239432 308113 389077 616226 778154 1232452 1556308 2464904 3112616 4100273 8200546 16401092 32802184 53303549 106607098 213214196 426428392