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425824056 = 233277731093
BaseRepresentation
bin11001011000011…
…000111100111000
31002200021002210100
4121120120330320
51333002332211
6110130515400
713360305360
oct3130307470
91080232710
10425824056
111a9403a09
12ba735b60
136a2b38c8
14407a79a0
15275b5156
hex19618f38

425824056 has 96 divisors (see below), whose sum is σ = 1320939360. Its totient is φ = 121395456.

The previous prime is 425824037. The next prime is 425824057. The reversal of 425824056 is 650428524.

It is a happy number.

It is a super-2 number, since 2×4258240562 = 362652253336582272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 425824056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425824057) 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, 389046 + ... + 390138.

It is an arithmetic number, because the mean of its divisors is an integer number (13759785).

Almost surely, 2425824056 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 425824056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660469680).

425824056 is an abundant number, since it is smaller than the sum of its proper divisors (895115304).

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

425824056 is a wasteful number, since it uses less digits than its factorization.

425824056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 425824056 is about 20635.5047430394. The cubic root of 425824056 is about 752.3329171394.

The spelling of 425824056 in words is "four hundred twenty-five million, eight hundred twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 773 1093 1546 2186 2319 3092 3279 4372 4638 5411 6184 6558 6957 7651 8744 9276 9837 10822 13116 13914 15302 16233 18552 19674 21644 22953 26232 27828 30604 32466 39348 43288 45906 48699 55656 61208 64932 68859 78696 91812 97398 129864 137718 183624 194796 275436 389592 550872 844889 1689778 2534667 3379556 5069334 5914223 6759112 7604001 10138668 11828446 15208002 17742669 20277336 23656892 30416004 35485338 47313784 53228007 60832008 70970676 106456014 141941352 212912028 425824056