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424792256 = 2673173419
BaseRepresentation
bin11001010100011…
…101000011000000
31002121022200102112
4121110131003000
51332221323011
6110052434452
713345450250
oct3124350300
91077280375
10424792256
111a8869789
12ba318a28
136a012085
14405b9960
152745e58b
hex1951d0c0

424792256 has 112 divisors (see below), whose sum is σ = 1010472960. Its totient is φ = 173352960.

The previous prime is 424792241. The next prime is 424792321. The reversal of 424792256 is 652297424.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013615 + ... + 1014033.

It is an arithmetic number, because the mean of its divisors is an integer number (9022080).

Almost surely, 2424792256 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 424792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505236480).

424792256 is an abundant number, since it is smaller than the sum of its proper divisors (585680704).

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

424792256 is a wasteful number, since it uses less digits than its factorization.

424792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 424792256 is about 20610.4889801285. The cubic root of 424792256 is about 751.7247747916.

The spelling of 424792256 in words is "four hundred twenty-four million, seven hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 73 112 124 146 217 224 248 292 419 434 448 496 511 584 838 868 992 1022 1168 1676 1736 1984 2044 2263 2336 2933 3352 3472 4088 4526 4672 5866 6704 6944 8176 9052 11732 12989 13408 13888 15841 16352 18104 23464 25978 26816 30587 31682 32704 36208 46928 51956 61174 63364 72416 90923 93856 103912 122348 126728 144832 181846 187712 207824 214109 244696 253456 363692 415648 428218 489392 506912 727384 831296 856436 948197 978784 1013824 1454768 1712872 1896394 1957568 2909536 3425744 3792788 5819072 6637379 6851488 7585576 13274758 13702976 15171152 26549516 30342304 53099032 60684608 106198064 212396128 424792256