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426996360 = 23345767281
BaseRepresentation
bin11001011100110…
…111001010001000
31002202110122220000
4121130313022020
51333302340420
6110212003000
713403260230
oct3134671210
91082418800
10426996360
111aa03475a
12bb000460
136a60438b
14409d0cc0
1527747690
hex19737288

426996360 has 320 divisors, whose sum is σ = 1670613120. Its totient is φ = 95800320.

The previous prime is 426996347. The next prime is 426996371. The reversal of 426996360 is 63699624.

426996360 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 9 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1519420 + ... + 1519700.

It is an arithmetic number, because the mean of its divisors is an integer number (5220666).

Almost surely, 2426996360 is an apocalyptic number.

426996360 is a gapful number since it is divisible by the number (40) 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 426996360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835306560).

426996360 is an abundant number, since it is smaller than the sum of its proper divisors (1243616760).

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

426996360 is a wasteful number, since it uses less digits than its factorization.

426996360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 426996360 is about 20663.8902436110. The cubic root of 426996360 is about 753.0226814964.

The spelling of 426996360 in words is "four hundred twenty-six million, nine hundred ninety-six thousand, three hundred sixty".