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642888220 = 225134315737
BaseRepresentation
bin100110010100011…
…011001000011100
31122210201002211211
4212110123020130
52304034410340
6143443154204
721634313452
oct4624331034
91583632754
10642888220
112aa991487
1215b375964
13a3263c40
146154c9d2
153b6905ea
hex2651b21c

642888220 has 48 divisors (see below), whose sum is σ = 1457543808. Its totient is φ = 236782080.

The previous prime is 642888217. The next prime is 642888221. The reversal of 642888220 is 22888246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642888221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109192 + ... + 114928.

It is an arithmetic number, because the mean of its divisors is an integer number (30365496).

Almost surely, 2642888220 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 642888220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728771904).

642888220 is an abundant number, since it is smaller than the sum of its proper divisors (814655588).

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

642888220 is a wasteful number, since it uses less digits than its factorization.

642888220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 642888220 is about 25355.2404839710. The cubic root of 642888220 is about 863.0682810952.

The spelling of 642888220 in words is "six hundred forty-two million, eight hundred eighty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 431 862 1724 2155 4310 5603 5737 8620 11206 11474 22412 22948 28015 28685 56030 57370 74581 112060 114740 149162 298324 372905 745810 1491620 2472647 4945294 9890588 12363235 24726470 32144411 49452940 64288822 128577644 160722055 321444110 642888220