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642051400 = 23523210257
BaseRepresentation
bin100110010001001…
…110110101001000
31122202010120221111
4212101032311020
52303331121100
6143413220104
721624226654
oct4621166510
91582116844
10642051400
112aa46a7a1
1215b031634
13a3030093
14613b1a64
153b5776ba
hex2644ed48

642051400 has 24 divisors (see below), whose sum is σ = 1492769970. Its totient is φ = 256820480.

The previous prime is 642051391. The next prime is 642051437. The reversal of 642051400 is 4150246.

It can be written as a sum of positive squares in 3 ways, for example, as 425431876 + 216619524 = 20626^2 + 14718^2 .

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 5 ways as a sum of consecutive naturals, for example, 1604929 + ... + 1605328.

Almost surely, 2642051400 is an apocalyptic number.

It is an amenable number.

642051400 is an abundant number, since it is smaller than the sum of its proper divisors (850718570).

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

642051400 is a wasteful number, since it uses less digits than its factorization.

642051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210273 (or 3210264 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 642051400 is about 25338.7331964327. The cubic root of 642051400 is about 862.6936455210.

The spelling of 642051400 in words is "six hundred forty-two million, fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3210257 6420514 12841028 16051285 25682056 32102570 64205140 80256425 128410280 160512850 321025700 642051400