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812426940 = 22325132171571
BaseRepresentation
bin110000011011001…
…010011010111100
32002121201120020200
4300123022122330
53130440130230
6212341043500
726063341443
oct6033123274
92077646220
10812426940
11387659426
121a80b6590
13cc414300
1479c81d5a
154b4ce160
hex306ca6bc

812426940 has 216 divisors, whose sum is σ = 2827279728. Its totient is φ = 188098560.

The previous prime is 812426921. The next prime is 812426941. The reversal of 812426940 is 49624218.

812426940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 812426895 and 812426904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812426941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516355 + ... + 517925.

It is an arithmetic number, because the mean of its divisors is an integer number (13089258).

Almost surely, 2812426940 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 812426940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413639864).

812426940 is an abundant number, since it is smaller than the sum of its proper divisors (2014852788).

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

812426940 is a wasteful number, since it uses less digits than its factorization.

812426940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 812426940 is about 28503.1040414899. The cubic root of 812426940 is about 933.0998194157.

The spelling of 812426940 in words is "eight hundred twelve million, four hundred twenty-six thousand, nine hundred forty".