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2828523960 = 233257857011
BaseRepresentation
bin1010100010010111…
…1101100110111000
321022010100220102200
42220211331212320
521243100231320
61144401030200
7130044025353
oct25045754670
97263326380
102828523960
11122169aa09
1266b325360
13361006422
141cb92b29a
151184c1290
hexa897d9b8

2828523960 has 48 divisors (see below), whose sum is σ = 9192704040. Its totient is φ = 754272960.

The previous prime is 2828523953. The next prime is 2828523983. The reversal of 2828523960 is 693258282.

It is a happy number.

2828523960 is a `hidden beast` number, since 282 + 85 + 239 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 3928146 + ... + 3928865.

Almost surely, 22828523960 is an apocalyptic number.

2828523960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828523960 is an abundant number, since it is smaller than the sum of its proper divisors (6364180080).

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

2828523960 is a wasteful number, since it uses less digits than its factorization.

2828523960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857028 (or 7857021 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2828523960 is about 53183.8693590453. The cubic root of 2828523960 is about 1414.2297013979.

The spelling of 2828523960 in words is "two billion, eight hundred twenty-eight million, five hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7857011 15714022 23571033 31428044 39285055 47142066 62856088 70713099 78570110 94284132 117855165 141426198 157140220 188568264 235710330 282852396 314280440 353565495 471420660 565704792 707130990 942841320 1414261980 2828523960