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426104928 = 2533493177
BaseRepresentation
bin11001011001011…
…101100001100000
31002200210101002000
4121121131201200
51333040324203
6110140524000
713362555264
oct3131354140
91080711060
10426104928
111a9585a37
12ba850600
136a3816c2
144083c0a4
152761d4a3
hex1965d860

426104928 has 48 divisors (see below), whose sum is σ = 1242808560. Its totient is φ = 142034688.

The previous prime is 426104927. The next prime is 426104929. The reversal of 426104928 is 829401624.

It is an interprime number because it is at equal distance from previous prime (426104927) and next prime (426104929).

It is a tau number, because it is divible by the number of its divisors (48).

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 = 426104892 and 426104901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426104927) 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 7 ways as a sum of consecutive naturals, for example, 245725 + ... + 247452.

It is an arithmetic number, because the mean of its divisors is an integer number (25891845).

Almost surely, 2426104928 is an apocalyptic number.

426104928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

426104928 is an abundant number, since it is smaller than the sum of its proper divisors (816703632).

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

426104928 is a wasteful number, since it uses less digits than its factorization.

426104928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493196 (or 493182 counting only the distinct ones).

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

The square root of 426104928 is about 20642.3091731521. The cubic root of 426104928 is about 752.4982928038.

The spelling of 426104928 in words is "four hundred twenty-six million, one hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 493177 986354 1479531 1972708 2959062 3945416 4438593 5918124 7890832 8877186 11836248 13315779 15781664 17754372 23672496 26631558 35508744 47344992 53263116 71017488 106526232 142034976 213052464 426104928