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426963264 = 26372133491
BaseRepresentation
bin11001011100101…
…111000101000000
31002202101222111020
4121130233011000
51333300311024
6110211145440
713403061600
oct3134570500
91082358436
10426963264
111aa011902
12baba5280
136a5c22b0
14409c2c00
152773c979
hex1972f140

426963264 has 168 divisors, whose sum is σ = 1415600928. Its totient is φ = 112573440.

The previous prime is 426963241. The next prime is 426963281. The reversal of 426963264 is 462369624.

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 (42).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 120559 + ... + 124049.

It is an arithmetic number, because the mean of its divisors is an integer number (8426196).

Almost surely, 2426963264 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 426963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707800464).

426963264 is an abundant number, since it is smaller than the sum of its proper divisors (988637664).

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

426963264 is a wasteful number, since it uses less digits than its factorization.

426963264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3516 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 426963264 is about 20663.0894108311. The cubic root of 426963264 is about 753.0032256845.

The spelling of 426963264 in words is "four hundred twenty-six million, nine hundred sixty-three thousand, two hundred sixty-four".