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980412192 = 25327346633
BaseRepresentation
bin111010011011111…
…110011100100000
32112022211002200200
4322123332130200
54001441142232
6241141345200
733203236404
oct7233763440
92468732620
10980412192
11463465211
12234408200
1312816c576
14942cd104
155b11277c
hex3a6fe720

980412192 has 72 divisors (see below), whose sum is σ = 2826300204. Its totient is φ = 322320384.

The previous prime is 980412161. The next prime is 980412197. The reversal of 980412192 is 291214089.

It can be written as a sum of positive squares in 2 ways, for example, as 971194896 + 9217296 = 31164^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9804121922 = 1922416132444489728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (980412197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2293 + ... + 44340.

Almost surely, 2980412192 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 980412192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413150102).

980412192 is an abundant number, since it is smaller than the sum of its proper divisors (1845888012).

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

980412192 is a wasteful number, since it uses less digits than its factorization.

980412192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46722 (or 46711 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 980412192 is about 31311.5344881084. The cubic root of 980412192 is about 993.4276292428.

The spelling of 980412192 in words is "nine hundred eighty million, four hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 46633 93266 139899 186532 279798 373064 419697 559596 746128 839394 1119192 1492256 1678788 2238384 3357576 3404209 4476768 6715152 6808418 10212627 13430304 13616836 20425254 27233672 30637881 40850508 54467344 61275762 81701016 108934688 122551524 163402032 245103048 326804064 490206096 980412192