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426956544 = 28327231151
BaseRepresentation
bin11001011100101…
…101011100000000
31002202101122021100
4121130231130000
51333300102134
6110211054400
713403033160
oct3134553400
91082348240
10426956544
111aa007853
12baba1400
136a5bc211
14409c05a0
152773a999
hex1972d700

426956544 has 216 divisors, whose sum is σ = 1469325312. Its totient is φ = 116582400.

The previous prime is 426956539. The next prime is 426956549. The reversal of 426956544 is 445659624.

426956544 is a `hidden beast` number, since 42 + 6 + 9 + 565 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (426956539) and next prime (426956549).

It is a self number, because there is not a number n which added to its sum of digits gives 426956544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426956549) 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 23 ways as a sum of consecutive naturals, for example, 370369 + ... + 371519.

It is an arithmetic number, because the mean of its divisors is an integer number (6802432).

Almost surely, 2426956544 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 426956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734662656).

426956544 is an abundant number, since it is smaller than the sum of its proper divisors (1042368768).

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

426956544 is a wasteful number, since it uses less digits than its factorization.

426956544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1186 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 426956544 is about 20662.9268013997. The cubic root of 426956544 is about 752.9992751431. Note that the first 3 decimals are identical.

Adding to 426956544 its product of digits (1036800), we get a square (427993344 = 206882).

The spelling of 426956544 in words is "four hundred twenty-six million, nine hundred fifty-six thousand, five hundred forty-four".