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979353252 = 22321910313901
BaseRepresentation
bin111010010111111…
…011111010100100
32112020211022002200
4322113323322210
54001203301002
6241102534500
733161236203
oct7227737244
92466738080
10979353252
11462901659
12233b97430
13127b8b587
14940d523a
155aea3b1c
hex3a5fbea4

979353252 has 72 divisors (see below), whose sum is σ = 2631370560. Its totient is φ = 306244800.

The previous prime is 979353223. The next prime is 979353253. The reversal of 979353252 is 252353979.

It is a junction number, because it is equal to n+sod(n) for n = 979353198 and 979353207.

It is not an unprimeable number, because it can be changed into a prime (979353253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63502 + ... + 77402.

Almost surely, 2979353252 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 979353252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315685280).

979353252 is an abundant number, since it is smaller than the sum of its proper divisors (1652017308).

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

979353252 is a wasteful number, since it uses less digits than its factorization.

979353252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033 (or 14028 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 979353252 is about 31294.6201766374. The cubic root of 979353252 is about 993.0698344171.

The spelling of 979353252 in words is "nine hundred seventy-nine million, three hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 171 206 228 309 342 412 618 684 927 1236 1854 1957 3708 3914 5871 7828 11742 13901 17613 23484 27802 35226 41703 55604 70452 83406 125109 166812 250218 264119 500436 528238 792357 1056476 1431803 1584714 2377071 2863606 3169428 4295409 4754142 5727212 8590818 9508284 12886227 17181636 25772454 27204257 51544908 54408514 81612771 108817028 163225542 244838313 326451084 489676626 979353252