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426503952 = 243273113649
BaseRepresentation
bin11001011010111…
…110111100010000
31002201112122102200
4121122332330100
51333141111302
6110153243200
713366136520
oct3132767420
91081478380
10426503952
111a9828806
12baa03500
136a491204
1440903680
152769b81c
hex196bef10

426503952 has 120 divisors (see below), whose sum is σ = 1408243200. Its totient is φ = 117918720.

The previous prime is 426503951. The next prime is 426503989. The reversal of 426503952 is 259305624.

426503952 is a `hidden beast` number, since 4 + 265 + 0 + 395 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (426503951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24424 + ... + 38072.

It is an arithmetic number, because the mean of its divisors is an integer number (11735360).

Almost surely, 2426503952 is an apocalyptic number.

426503952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426503952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704121600).

426503952 is an abundant number, since it is smaller than the sum of its proper divisors (981739248).

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

426503952 is a wasteful number, since it uses less digits than its factorization.

426503952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13701 (or 13692 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 426503952 is about 20651.9721092200. The cubic root of 426503952 is about 752.7331107094.

The spelling of 426503952 in words is "four hundred twenty-six million, five hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 13649 15624 27298 31248 40947 54596 81894 95543 109192 122841 163788 191086 218384 245682 286629 327576 382172 423119 491364 573258 655152 764344 846238 859887 982728 1146516 1269357 1528688 1692476 1719774 1965456 2293032 2538714 2961833 3384952 3439548 3808071 4586064 5077428 5923666 6769904 6879096 7616142 8885499 10154856 11847332 13758192 15232284 17770998 20309712 23694664 26656497 30464568 35541996 47389328 53312994 60929136 71083992 106625988 142167984 213251976 426503952