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426055392 = 25327319227
BaseRepresentation
bin11001011001010…
…001011011100000
31002200200212010100
4121121101123200
51333032233032
6110135502400
713362261000
oct3131213340
91080625110
10426055392
111a95517a4
12ba827a00
136a364ca9
1440828000
152760d97c
hex196516e0

426055392 has 288 divisors, whose sum is σ = 1493856000. Its totient is φ = 114815232.

The previous prime is 426055391. The next prime is 426055403. The reversal of 426055392 is 293550624.

426055392 is a `hidden beast` number, since 4 + 260 + 5 + 5 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (426055391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1876783 + ... + 1877009.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2426055392 is an apocalyptic number.

426055392 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 426055392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

426055392 is an abundant number, since it is smaller than the sum of its proper divisors (1067800608).

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

426055392 is a wasteful number, since it uses less digits than its factorization.

426055392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 426055392 is about 20641.1092725173. The cubic root of 426055392 is about 752.4691315984.

The spelling of 426055392 in words is "four hundred twenty-six million, fifty-five thousand, three hundred ninety-two".