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426399584 = 25139710567
BaseRepresentation
bin11001011010100…
…101011101100000
31002201100100021012
4121122211131200
51333124241314
6110151120052
713365223322
oct3132453540
91081310235
10426399584
111a9767356
12ba973028
136a455860
14408b7612
152767a93e
hex196a5760

426399584 has 48 divisors (see below), whose sum is σ = 913455648. Its totient is φ = 194752512.

The previous prime is 426399583. The next prime is 426399641. The reversal of 426399584 is 485993624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426399583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35069 + ... + 45635.

It is an arithmetic number, because the mean of its divisors is an integer number (19030326).

Almost surely, 2426399584 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 426399584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456727824).

426399584 is an abundant number, since it is smaller than the sum of its proper divisors (487056064).

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

426399584 is a wasteful number, since it uses less digits than its factorization.

426399584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687 (or 10679 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The square root of 426399584 is about 20649.4451257171. The cubic root of 426399584 is about 752.6717063090.

The spelling of 426399584 in words is "four hundred twenty-six million, three hundred ninety-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1261 1552 2522 3104 5044 10088 10567 20176 21134 40352 42268 84536 137371 169072 274742 338144 549484 1024999 1098968 2049998 2197936 4099996 4395872 8199992 13324987 16399984 26649974 32799968 53299948 106599896 213199792 426399584