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2852414464 = 21016692
BaseRepresentation
bin1010101000000100…
…0110010000000000
321100210022200001011
42222001012100000
521320204230324
61151013050304
7130454060104
oct25201062000
97323280034
102852414464
111234128229
12677326994
13365c4c613
141d0b89904
1511a63ec94
hexaa046400

2852414464 has 33 divisors (see below), whose sum is σ = 5705461857. Its totient is φ = 1425352704.

The previous prime is 2852414441. The next prime is 2852414573. The reversal of 2852414464 is 4644142582.

The square root of 2852414464 is 53408.

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

It can be written as a sum of positive squares in only one way, i.e., 1521624064 + 1330790400 = 39008^2 + 36480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1708222 + ... + 1709890.

Almost surely, 22852414464 is an apocalyptic number.

2852414464 is the 53408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852414464

2852414464 is an abundant number, since it is smaller than the sum of its proper divisors (2853047393).

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

2852414464 is an frugal number, since it uses more digits than its factorization.

2852414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 1671 counting only the distinct ones).

The product of its digits is 245760, while the sum is 40.

The cubic root of 2852414464 is about 1418.2002034235.

It can be divided in two parts, 2852 and 414464, that added together give a square (417316 = 6462).

The spelling of 2852414464 in words is "two billion, eight hundred fifty-two million, four hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1669 3338 6676 13352 26704 53408 106816 213632 427264 854528 1709056 2785561 5571122 11142244 22284488 44568976 89137952 178275904 356551808 713103616 1426207232 2852414464