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642279132 = 223511243127
BaseRepresentation
bin100110010010000…
…110011011011100
31122202120011100000
4212102012123130
52303410413012
6143422134300
721626165625
oct4622063334
91582504300
10642279132
112aa605900
1215b121390
13a30ac931
1461430a4c
153b5beddc
hex264866dc

642279132 has 216 divisors, whose sum is σ = 1908594688. Its totient is φ = 188606880.

The previous prime is 642279119. The next prime is 642279167. The reversal of 642279132 is 231972246.

642279132 is a `hidden beast` number, since 642 + 2 + 7 + 9 + 1 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5057253 + ... + 5057379.

Almost surely, 2642279132 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 642279132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954297344).

642279132 is an abundant number, since it is smaller than the sum of its proper divisors (1266315556).

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

642279132 is a wasteful number, since it uses less digits than its factorization.

642279132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 642279132 is about 25343.2265506979. The cubic root of 642279132 is about 862.7956309829.

It can be divided in two parts, 642279 and 132, that added together give a triangular number (642411 = T1133).

The spelling of 642279132 in words is "six hundred forty-two million, two hundred seventy-nine thousand, one hundred thirty-two".