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2828252664 = 233239281287
BaseRepresentation
bin1010100010010011…
…1011010111111000
321022002212010021200
42220210323113320
521243013041124
61144351134200
7130041515406
oct25044732770
97262763250
102828252664
1112215250a6
1266b214360
13360c3cab3
141cb89a476
1511846abc9
hexa893b5f8

2828252664 has 24 divisors (see below), whose sum is σ = 7659851160. Its totient is φ = 942750864.

The previous prime is 2828252653. The next prime is 2828252677. The reversal of 2828252664 is 4662528282.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19640572 + ... + 19640715.

It is an arithmetic number, because the mean of its divisors is an integer number (319160465).

Almost surely, 22828252664 is an apocalyptic number.

2828252664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2828252664 is an abundant number, since it is smaller than the sum of its proper divisors (4831598496).

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

2828252664 is a wasteful number, since it uses less digits than its factorization.

2828252664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39281299 (or 39281292 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2828252664 is about 53181.3187501025. The cubic root of 2828252664 is about 1414.1844849842.

The spelling of 2828252664 in words is "two billion, eight hundred twenty-eight million, two hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 39281287 78562574 117843861 157125148 235687722 314250296 353531583 471375444 707063166 942750888 1414126332 2828252664