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2828640312 = 233313095557
BaseRepresentation
bin1010100010011001…
…1010000000111000
321022010120211001000
42220212122000320
521243112442222
61144403325000
7130045021521
oct25046320070
97263524030
102828640312
11122176a373
1266b380760
13361047384
141cb95b848
151184e59ac
hexa899a038

2828640312 has 32 divisors (see below), whose sum is σ = 7857334800. Its totient is φ = 942880032.

The previous prime is 2828640299. The next prime is 2828640313. The reversal of 2828640312 is 2130468282.

2828640312 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 640 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828640313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6547563 + ... + 6547994.

Almost surely, 22828640312 is an apocalyptic number.

It is an amenable number.

2828640312 is an abundant number, since it is smaller than the sum of its proper divisors (5028694488).

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

2828640312 is a wasteful number, since it uses less digits than its factorization.

2828640312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13095572 (or 13095562 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2828640312 is about 53184.9632132993. The cubic root of 2828640312 is about 1414.2490926894.

The spelling of 2828640312 in words is "two billion, eight hundred twenty-eight million, six hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 13095557 26191114 39286671 52382228 78573342 104764456 117860013 157146684 235720026 314293368 353580039 471440052 707160078 942880104 1414320156 2828640312