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426307392 = 26327234597
BaseRepresentation
bin11001011010001…
…110111101000000
31002201011122210200
4121122032331000
51333113314032
6110145125200
713364360460
oct3132167500
91081148720
10426307392
111a9704065
12ba929800
136a4228c4
1440891ba0
152765d47c
hex1968ef40

426307392 has 168 divisors, whose sum is σ = 1457529216. Its totient is φ = 116481024.

The previous prime is 426307379. The next prime is 426307397. The reversal of 426307392 is 293703624.

It is a happy number.

426307392 is a `hidden beast` number, since 4 + 263 + 0 + 7 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426307397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90438 + ... + 95034.

Almost surely, 2426307392 is an apocalyptic number.

426307392 is a gapful number since it is divisible by the number (42) 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 426307392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728764608).

426307392 is an abundant number, since it is smaller than the sum of its proper divisors (1031221824).

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

426307392 is a wasteful number, since it uses less digits than its factorization.

426307392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 426307392 is about 20647.2126932426. The cubic root of 426307392 is about 752.6174572633.

The spelling of 426307392 in words is "four hundred twenty-six million, three hundred seven thousand, three hundred ninety-two".