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667644952 = 231319217783
BaseRepresentation
bin100111110010110…
…111010000011000
31201112021212200211
4213302313100120
52331404114302
6150125540504
722354613512
oct4762672030
91645255624
10667644952
11312960597
12167714734
13a84214b0
1464954bb2
153d930ad7
hex27cb7418

667644952 has 48 divisors (see below), whose sum is σ = 1422897840. Its totient is φ = 291909312.

The previous prime is 667644941. The next prime is 667644953. The reversal of 667644952 is 259446766.

667644952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 667644896 and 667644905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667644953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28653 + ... + 46435.

It is an arithmetic number, because the mean of its divisors is an integer number (29643705).

Almost surely, 2667644952 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 667644952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711448920).

667644952 is an abundant number, since it is smaller than the sum of its proper divisors (755252888).

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

667644952 is a wasteful number, since it uses less digits than its factorization.

667644952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17840 (or 17817 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The square root of 667644952 is about 25838.8264439390. The cubic root of 667644952 is about 874.0075613713.

The spelling of 667644952 in words is "six hundred sixty-seven million, six hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4693 9386 17783 18772 35566 37544 71132 142264 231179 337877 462358 675754 924716 1351508 1849432 2703016 4392401 6419663 8784802 12839326 17569604 25678652 35139208 51357304 83455619 166911238 333822476 667644952