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425014824 = 2331317227353
BaseRepresentation
bin11001010101010…
…011011000101000
31002121201222201210
4121111103120220
51332300433244
6110101313120
713350365163
oct3125233050
91077658653
10425014824
111a8a00a23
12ba4057a0
136a08c480
1440636ada
15274a54b9
hex19553628

425014824 has 128 divisors (see below), whose sum is σ = 1220365440. Its totient is φ = 122191872.

The previous prime is 425014753. The next prime is 425014829. The reversal of 425014824 is 428410524.

It is a junction number, because it is equal to n+sod(n) for n = 425014791 and 425014800.

It is not an unprimeable number, because it can be changed into a prime (425014829) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1203832 + ... + 1204184.

It is an arithmetic number, because the mean of its divisors is an integer number (9534105).

Almost surely, 2425014824 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 425014824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610182720).

425014824 is an abundant number, since it is smaller than the sum of its proper divisors (795350616).

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

425014824 is a wasteful number, since it uses less digits than its factorization.

425014824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 425014824 is about 20615.8876597638. The cubic root of 425014824 is about 751.8560394788.

The spelling of 425014824 in words is "four hundred twenty-five million, fourteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 227 312 353 408 442 454 663 681 706 884 908 1059 1326 1362 1412 1768 1816 2118 2652 2724 2824 2951 3859 4236 4589 5304 5448 5902 6001 7718 8472 8853 9178 11577 11804 12002 13767 15436 17706 18003 18356 23154 23608 24004 27534 30872 35412 36006 36712 46308 48008 50167 55068 70824 72012 78013 80131 92616 100334 110136 144024 150501 156026 160262 200668 234039 240393 301002 312052 320524 401336 468078 480786 602004 624104 641048 936156 961572 1041703 1204008 1362227 1872312 1923144 2083406 2724454 3125109 4086681 4166812 5448908 6250218 8173362 8333624 10897816 12500436 16346724 17708951 25000872 32693448 35417902 53126853 70835804 106253706 141671608 212507412 425014824