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427634256 = 24372415281
BaseRepresentation
bin11001011111010…
…010111001010000
31002210200001220210
4121133102321100
51333433244011
6110233404120
713411555050
oct3137227120
91083601823
10427634256
111aa42aa45
12bb269640
136a79882a
1440b19560
15278216a6
hex197d2e50

427634256 has 80 divisors (see below), whose sum is σ = 1268018048. Its totient is φ = 121651200.

The previous prime is 427634209. The next prime is 427634287. The reversal of 427634256 is 652436724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78336 + ... + 83616.

Almost surely, 2427634256 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 427634256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634009024).

427634256 is an abundant number, since it is smaller than the sum of its proper divisors (840383792).

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

427634256 is a wasteful number, since it uses less digits than its factorization.

427634256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5534 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 427634256 is about 20679.3195245878. The cubic root of 427634256 is about 753.3974787227.

The spelling of 427634256 in words is "four hundred twenty-seven million, six hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 482 723 964 1446 1687 1928 2892 3374 3856 5061 5281 5784 6748 10122 10562 11568 13496 15843 20244 21124 26992 31686 36967 40488 42248 63372 73934 80976 84496 110901 126744 147868 221802 253488 295736 443604 591472 887208 1272721 1774416 2545442 3818163 5090884 7636326 8909047 10181768 15272652 17818094 20363536 26727141 30545304 35636188 53454282 61090608 71272376 106908564 142544752 213817128 427634256