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428830896 = 243132293001
BaseRepresentation
bin11001100011110…
…111000010110000
31002212220212101210
4121203313002300
51334240042041
6110315200120
713425000564
oct3143670260
91085825353
10428830896
11200077aaa
12bb746040
136aac73c0
1440d4b6a4
15279ab016
hex198f70b0

428830896 has 80 divisors (see below), whose sum is σ = 1198638560. Its totient is φ = 131328000.

The previous prime is 428830861. The next prime is 428830901. The reversal of 428830896 is 698038824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141396 + ... + 144396.

It is an arithmetic number, because the mean of its divisors is an integer number (14982982).

Almost surely, 2428830896 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 428830896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599319280).

428830896 is an abundant number, since it is smaller than the sum of its proper divisors (769807664).

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

428830896 is a wasteful number, since it uses less digits than its factorization.

428830896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 428830896 is about 20708.2325658179. The cubic root of 428830896 is about 754.0995630591.

The spelling of 428830896 in words is "four hundred twenty-eight million, eight hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 229 312 458 624 687 916 1374 1832 2748 2977 3001 3664 5496 5954 6002 8931 9003 10992 11908 12004 17862 18006 23816 24008 35724 36012 39013 47632 48016 71448 72024 78026 117039 142896 144048 156052 234078 312104 468156 624208 687229 936312 1374458 1872624 2061687 2748916 4123374 5497832 8246748 8933977 10995664 16493496 17867954 26801931 32986992 35735908 53603862 71471816 107207724 142943632 214415448 428830896