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2828032504 = 2311195093323
BaseRepresentation
bin1010100010010000…
…0101100111111000
321022002102221021121
42220210011213320
521242434020004
61144342315024
7130036610503
oct25044054770
97262387247
102828032504
111221394750
1266b128a74
13360b9381b
141cb84013a
15118425854
hexa89059f8

2828032504 has 64 divisors (see below), whose sum is σ = 6102864000. Its totient is φ = 1215054720.

The previous prime is 2828032499. The next prime is 2828032513. The reversal of 2828032504 is 4052308282.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2828032504.

It is a congruent number.

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, 849387 + ... + 852709.

It is an arithmetic number, because the mean of its divisors is an integer number (95357250).

Almost surely, 22828032504 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 2828032504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051432000).

2828032504 is an abundant number, since it is smaller than the sum of its proper divisors (3274831496).

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

2828032504 is a wasteful number, since it uses less digits than its factorization.

2828032504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 2828032504 is about 53179.2488100387. The cubic root of 2828032504 is about 1414.1477891898.

The spelling of 2828032504 in words is "two billion, eight hundred twenty-eight million, thirty-two thousand, five hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 509 836 1018 1672 2036 3323 4072 5599 6646 9671 11198 13292 19342 22396 26584 36553 38684 44792 63137 73106 77368 106381 126274 146212 212762 252548 292424 425524 505096 694507 851048 1389014 1691407 2778028 3382814 5556056 6765628 13531256 18605477 32136733 37210954 64273466 74421908 128546932 148843816 257093864 353504063 707008126 1414016252 2828032504