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425810376 = 2332139157271
BaseRepresentation
bin11001011000010…
…101100111001000
31002200020102000200
4121120111213020
51333001413001
6110130332200
713360220445
oct3130254710
91080212020
10425810376
111a93a4702
12ba72a060
136a2aa604
14407a29cc
15275b1086
hex196159c8

425810376 has 96 divisors (see below), whose sum is σ = 1173244800. Its totient is φ = 139501440.

The previous prime is 425810351. The next prime is 425810383. The reversal of 425810376 is 673018524.

425810376 is a `hidden beast` number, since 4 + 2 + 581 + 0 + 3 + 76 = 666.

It is a super-2 number, since 2×4258103762 = 362628952618522752, which contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 425810376 = 823 + 7523 = 1943 + 7483.

It is a self number, because there is not a number n which added to its sum of digits gives 425810376.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1571121 + ... + 1571391.

It is an arithmetic number, because the mean of its divisors is an integer number (12221300).

Almost surely, 2425810376 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 425810376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586622400).

425810376 is an abundant number, since it is smaller than the sum of its proper divisors (747434424).

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

425810376 is a wasteful number, since it uses less digits than its factorization.

425810376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 425810376 is about 20635.1732728368. The cubic root of 425810376 is about 752.3248605846.

The spelling of 425810376 in words is "four hundred twenty-five million, eight hundred ten thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 157 271 278 314 417 471 542 556 628 813 834 942 1084 1112 1251 1256 1413 1626 1668 1884 2168 2439 2502 2826 3252 3336 3768 4878 5004 5652 6504 9756 10008 11304 19512 21823 37669 42547 43646 65469 75338 85094 87292 113007 127641 130938 150676 170188 174584 196407 226014 255282 261876 301352 339021 340376 382923 392814 452028 510564 523752 678042 765846 785628 904056 1021128 1356084 1531692 1571256 2712168 3063384 5914033 11828066 17742099 23656132 35484198 47312264 53226297 70968396 106452594 141936792 212905188 425810376