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428733696 = 2831513697
BaseRepresentation
bin11001100011011…
…111010100000000
31002212201221001210
4121203133110000
51334223434241
6110313130120
713424114316
oct3143372400
91085657053
10428733696
11200010a76
12bb6b9940
136aa920a1
1440d240b6
152798c316
hex198df500

428733696 has 72 divisors (see below), whose sum is σ = 1148924224. Its totient is φ = 141926400.

The previous prime is 428733631. The next prime is 428733719. The reversal of 428733696 is 696337824.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 114120 + ... + 117816.

Almost surely, 2428733696 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 428733696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574462112).

428733696 is an abundant number, since it is smaller than the sum of its proper divisors (720190528).

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

428733696 is a wasteful number, since it uses less digits than its factorization.

428733696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3853 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 428733696 is about 20705.8855401067. The cubic root of 428733696 is about 754.0425833211.

The spelling of 428733696 in words is "four hundred twenty-eight million, seven hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 604 768 906 1208 1812 2416 3624 3697 4832 7248 7394 9664 11091 14496 14788 19328 22182 28992 29576 38656 44364 57984 59152 88728 115968 118304 177456 236608 354912 473216 558247 709824 946432 1116494 1419648 1674741 2232988 2839296 3349482 4465976 6698964 8931952 13397928 17863904 26795856 35727808 53591712 71455616 107183424 142911232 214366848 428733696