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952675984 = 241322912149
BaseRepresentation
bin111000110010001…
…010111010010000
32110101121221202201
4320302022322100
53422341112414
6234311052544
732415420001
oct7062127220
92411557681
10952675984
11449840627
12227071154
131224aab00
149074d1a8
1558984574
hex38c8ae90

952675984 has 60 divisors (see below), whose sum is σ = 2067808500. Its totient is φ = 424499712.

The previous prime is 952675981. The next prime is 952676027. The reversal of 952675984 is 489576259.

It can be written as a sum of positive squares in 6 ways, for example, as 2310400 + 950365584 = 1520^2 + 30828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952675981) 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 11 ways as a sum of consecutive naturals, for example, 72342 + ... + 84490.

It is an arithmetic number, because the mean of its divisors is an integer number (34463475).

Almost surely, 2952675984 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 952675984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033904250).

952675984 is an abundant number, since it is smaller than the sum of its proper divisors (1115132516).

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

952675984 is a wasteful number, since it uses less digits than its factorization.

952675984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212 (or 12193 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The square root of 952675984 is about 30865.4496808325. The cubic root of 952675984 is about 983.9697315915.

The spelling of 952675984 in words is "nine hundred fifty-two million, six hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 1352 1508 2704 3016 4901 6032 9802 12149 19604 24298 39208 48596 78416 97192 157937 194384 315874 352321 631748 704642 1263496 1409284 2053181 2526992 2818568 4106362 4580173 5637136 8212724 9160346 16425448 18320692 32850896 36641384 59542249 73282768 119084498 238168996 476337992 952675984