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642869136 = 24357132379
BaseRepresentation
bin100110010100010…
…110011110010000
31122210200010200000
4212110112132100
52304033303021
6143442530000
721634204020
oct4624263620
91583603600
10642869136
112aa979108
1215b366900
13a3258350
1461545a80
153b689b26
hex26516790

642869136 has 480 divisors, whose sum is σ = 2426511360. Its totient is φ = 160123392.

The previous prime is 642869119. The next prime is 642869147. The reversal of 642869136 is 631968246.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 642869091 and 642869100.

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 95 ways as a sum of consecutive naturals, for example, 8137545 + ... + 8137623.

It is an arithmetic number, because the mean of its divisors is an integer number (5055232).

Almost surely, 2642869136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642869136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213255680).

642869136 is an abundant number, since it is smaller than the sum of its proper divisors (1783642224).

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

642869136 is a wasteful number, since it uses less digits than its factorization.

642869136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 642869136 is about 25354.8641487191. The cubic root of 642869136 is about 863.0597410113.

The spelling of 642869136 in words is "six hundred forty-two million, eight hundred sixty-nine thousand, one hundred thirty-six".