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2854921888 = 257213140057
BaseRepresentation
bin1010101000101010…
…1010011010100000
321100222001001120201
42222022222122200
521321330000023
61151142514544
7130514302300
oct25212523240
97328031521
102854921888
111235590085
12678135a54
133666199c0
141d123d600
1511a987bad
hexaa2aa6a0

2854921888 has 72 divisors (see below), whose sum is σ = 7041275892. Its totient is φ = 1129411584.

The previous prime is 2854921879. The next prime is 2854921889. The reversal of 2854921888 is 8881294582.

It can be written as a sum of positive squares in 2 ways, for example, as 2289813904 + 565107984 = 47852^2 + 23772^2 .

It is not an unprimeable number, because it can be changed into a prime (2854921889) by changing a digit.

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, 49645 + ... + 90412.

Almost surely, 22854921888 is an apocalyptic number.

2854921888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2854921888 is an abundant number, since it is smaller than the sum of its proper divisors (4186354004).

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

2854921888 is a wasteful number, since it uses less digits than its factorization.

2854921888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140094 (or 140079 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 55.

The square root of 2854921888 is about 53431.4690795602. The cubic root of 2854921888 is about 1418.6156395158.

The spelling of 2854921888 in words is "two billion, eight hundred fifty-four million, nine hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 140057 280114 560228 980399 1120456 1820741 1960798 2240912 3641482 3921596 4481824 6862793 7282964 7843192 12745187 13725586 14565928 15686384 25490374 27451172 29131856 31372768 50980748 54902344 58263712 89216309 101961496 109804688 178432618 203922992 219609376 356865236 407845984 713730472 1427460944 2854921888