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426377864 = 23113231741
BaseRepresentation
bin11001011010100…
…000001010001000
31002201022020110202
4121122200022020
51333123042424
6110150431332
713365103103
oct3132401210
91081266422
10426377864
111a9752000
12ba962548
136a4489c3
14408ad73a
15276742ae
hex196a0288

426377864 has 64 divisors (see below), whose sum is σ = 918103680. Its totient is φ = 185275200.

The previous prime is 426377851. The next prime is 426377869. The reversal of 426377864 is 468773624.

It is not an unprimeable number, because it can be changed into a prime (426377869) 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, 244034 + ... + 245774.

It is an arithmetic number, because the mean of its divisors is an integer number (14345370).

Almost surely, 2426377864 is an apocalyptic number.

426377864 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 426377864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459051840).

426377864 is an abundant number, since it is smaller than the sum of its proper divisors (491725816).

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

426377864 is a wasteful number, since it uses less digits than its factorization.

426377864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1777 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 47.

The square root of 426377864 is about 20648.9191968974. The cubic root of 426377864 is about 752.6589261941.

The spelling of 426377864 in words is "four hundred twenty-six million, three hundred seventy-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 1331 1741 2024 2662 2783 3482 5324 5566 6964 10648 11132 13928 19151 22264 30613 38302 40043 61226 76604 80086 122452 153208 160172 210661 244904 320344 421322 440473 842644 880946 1685288 1761892 2317271 3523784 4634542 4845203 9269084 9690406 18538168 19380812 38761624 53297233 106594466 213188932 426377864