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642694500 = 22345372267
BaseRepresentation
bin100110010011101…
…011110101100100
31122210100021010000
4212103223311210
52304012211000
6143435101300
721632545620
oct4623536544
91583307100
10642694500
112aa869988
1215b2a1830
13a31c6a06
14614dc180
153b653000
hex264ebd64

642694500 has 240 divisors, whose sum is σ = 2397403008. Its totient is φ = 146836800.

The previous prime is 642694487. The next prime is 642694501. The reversal of 642694500 is 5496246.

642694500 is a `hidden beast` number, since 64 + 2 + 6 + 94 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (642694501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282367 + ... + 284633.

Almost surely, 2642694500 is an apocalyptic number.

642694500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642694500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198701504).

642694500 is an abundant number, since it is smaller than the sum of its proper divisors (1754708508).

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

642694500 is a wasteful number, since it uses less digits than its factorization.

642694500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 642694500 is about 25351.4200785676. The cubic root of 642694500 is about 862.9815836060.

The spelling of 642694500 in words is "six hundred forty-two million, six hundred ninety-four thousand, five hundred".