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425960832 = 27311313253
BaseRepresentation
bin11001011000111…
…010010110000000
31002200112001102010
4121120322112000
51333021221312
6110133452520
713361415213
oct3130722600
91080461363
10425960832
111a9497750
12ba7a1140
136a330c3b
144080177a
15275e093c
hex1963a580

425960832 has 128 divisors (see below), whose sum is σ = 1274526720. Its totient is φ = 124876800.

The previous prime is 425960831. The next prime is 425960833. The reversal of 425960832 is 238069524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (425960831) and next prime (425960833).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425960831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129318 + ... + 132570.

It is an arithmetic number, because the mean of its divisors is an integer number (9957240).

Almost surely, 2425960832 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 425960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637263360).

425960832 is an abundant number, since it is smaller than the sum of its proper divisors (848565888).

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

425960832 is a wasteful number, since it uses less digits than its factorization.

425960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 425960832 is about 20638.8185708388. The cubic root of 425960832 is about 752.4134590676.

The spelling of 425960832 in words is "four hundred twenty-five million, nine hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 264 341 352 372 384 496 528 682 704 744 992 1023 1056 1364 1408 1488 1984 2046 2112 2728 2976 3253 3968 4092 4224 5456 5952 6506 8184 9759 10912 11904 13012 16368 19518 21824 26024 32736 35783 39036 43648 52048 65472 71566 78072 100843 104096 107349 130944 143132 156144 201686 208192 214698 286264 302529 312288 403372 416384 429396 572528 605058 624576 806744 858792 1109273 1145056 1210116 1249152 1613488 1717584 2218546 2290112 2420232 3226976 3327819 3435168 4437092 4580224 4840464 6453952 6655638 6870336 8874184 9680928 12907904 13311276 13740672 17748368 19361856 26622552 35496736 38723712 53245104 70993472 106490208 141986944 212980416 425960832