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642816468 = 223272550859
BaseRepresentation
bin100110010100001…
…001100111010100
31122210120110102100
4212110021213110
52304030111333
6143441442100
721633564330
oct4624114724
91583513370
10642816468
112aa942588
1215b340330
13a323a398
14615307c0
153b679213
hex265099d4

642816468 has 36 divisors (see below), whose sum is σ = 1857026080. Its totient is φ = 183661776.

The previous prime is 642816439. The next prime is 642816497. The reversal of 642816468 is 864618246.

642816468 is a `hidden beast` number, since 6 + 428 + 164 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (642816439) and next prime (642816497).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 1275178 + ... + 1275681.

Almost surely, 2642816468 is an apocalyptic number.

It is an amenable number.

642816468 is an abundant number, since it is smaller than the sum of its proper divisors (1214209612).

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

642816468 is a wasteful number, since it uses less digits than its factorization.

642816468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550876 (or 2550871 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 642816468 is about 25353.8255101671. The cubic root of 642816468 is about 863.0361712212.

The spelling of 642816468 in words is "six hundred forty-two million, eight hundred sixteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2550859 5101718 7652577 10203436 15305154 17856013 22957731 30610308 35712026 45915462 53568039 71424052 91830924 107136078 160704117 214272156 321408234 642816468