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2893579264 = 210414
BaseRepresentation
bin1010110001111000…
…1000010000000000
321110122210001112101
42230132020100000
521411224014024
61155043240144
7131464006102
oct25436102000
97418701471
102893579264
111255393a24
12689079054
133716333a4
141d6423572
1511e071c44
hexac788400

2893579264 has 55 divisors (see below), whose sum is σ = 5928941035. Its totient is φ = 1411502080.

The previous prime is 2893579259. The next prime is 2893579343. The reversal of 2893579264 is 4629753982.

The square root of 2893579264 is 53792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2362737664 + 530841600 = 48608^2 + 23040^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=164.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 70575084 + ... + 70575124.

Almost surely, 22893579264 is an apocalyptic number.

2893579264 is the 53792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2893579264

2893579264 is an abundant number, since it is smaller than the sum of its proper divisors (3035361771).

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

2893579264 is an frugal number, since it uses more digits than its factorization.

2893579264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 43 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The cubic root of 2893579264 is about 1424.9899273321.

The spelling of 2893579264 in words is "two billion, eight hundred ninety-three million, five hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1681 2624 3362 5248 6724 10496 13448 20992 26896 41984 53792 68921 107584 137842 215168 275684 430336 551368 860672 1102736 1721344 2205472 2825761 4410944 5651522 8821888 11303044 17643776 22606088 35287552 45212176 70575104 90424352 180848704 361697408 723394816 1446789632 2893579264