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2857114440 = 233257936429
BaseRepresentation
bin1010101001001100…
…0001101101001000
321101010011110012100
42222103001231020
521322410130230
61151301513400
7130542033465
oct25223015510
97333143170
102857114440
111236848404
12678a12860
13366c0697b
141d165066c
1511ac6c660
hexaa4c1b48

2857114440 has 48 divisors (see below), whose sum is σ = 9285623100. Its totient is φ = 761897088.

The previous prime is 2857114409. The next prime is 2857114457. The reversal of 2857114440 is 444117582.

It is a happy number.

2857114440 is a `hidden beast` number, since 2 + 8 + 571 + 1 + 44 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2683032804 + 174081636 = 51798^2 + 13194^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2857114395 and 2857114404.

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 11 ways as a sum of consecutive naturals, for example, 3967855 + ... + 3968574.

Almost surely, 22857114440 is an apocalyptic number.

2857114440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2857114440 is an abundant number, since it is smaller than the sum of its proper divisors (6428508660).

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

2857114440 is a wasteful number, since it uses less digits than its factorization.

2857114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936446 (or 7936439 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2857114440 is about 53451.9825637927. The cubic root of 2857114440 is about 1418.9787075518.

The spelling of 2857114440 in words is "two billion, eight hundred fifty-seven million, one hundred fourteen thousand, four hundred forty".

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 7936429 15872858 23809287 31745716 39682145 47618574 63491432 71427861 79364290 95237148 119046435 142855722 158728580 190474296 238092870 285711444 317457160 357139305 476185740 571422888 714278610 952371480 1428557220 2857114440