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973249056 = 253213259949
BaseRepresentation
bin111010000000101…
…001101000100000
32111211100011201100
4322000221220200
53443122432211
6240324034400
733055323543
oct7200515040
92454304640
10973249056
1145a41246a
12231b32a00
13126832020
149338685a
155a69a156
hex3a029a20

973249056 has 72 divisors (see below), whose sum is σ = 2980586700. Its totient is φ = 299460096.

The previous prime is 973249051. The next prime is 973249063. The reversal of 973249056 is 650942379.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 969699600 + 3549456 = 31140^2 + 1884^2 .

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

It is a super-2 number, since 2×9732490562 = 1894427450009782272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (973249051) 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, 126231 + ... + 133718.

Almost surely, 2973249056 is an apocalyptic number.

973249056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

973249056 is an abundant number, since it is smaller than the sum of its proper divisors (2007337644).

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

973249056 is a wasteful number, since it uses less digits than its factorization.

973249056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259978 (or 259967 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 973249056 is about 31196.9398499276. The cubic root of 973249056 is about 991.0023029276.

The spelling of 973249056 in words is "nine hundred seventy-three million, two hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 259949 519898 779847 1039796 1559694 2079592 2339541 3119388 3379337 4159184 4679082 6238776 6758674 8318368 9358164 10138011 12477552 13517348 18716328 20276022 24955104 27034696 30414033 37432656 40552044 54069392 60828066 74865312 81104088 108138784 121656132 162208176 243312264 324416352 486624528 973249056