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970681248 = 25323370421
BaseRepresentation
bin111001110110110…
…110101110100000
32111122111201100100
4321312312232200
53441443244443
6240153022400
733024440325
oct7166665640
92448451310
10970681248
11458a19209
122310b4a00
13126143304
1492cb8b4c
155a33e3d3
hex39db6ba0

970681248 has 36 divisors (see below), whose sum is σ = 2760375618. Its totient is φ = 323560320.

The previous prime is 970681169. The next prime is 970681319. The reversal of 970681248 is 842186079.

It can be written as a sum of positive squares in only one way, i.e., 703947024 + 266734224 = 26532^2 + 16332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1684923 + ... + 1685498.

Almost surely, 2970681248 is an apocalyptic number.

It is an amenable number.

970681248 is an abundant number, since it is smaller than the sum of its proper divisors (1789694370).

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

970681248 is a wasteful number, since it uses less digits than its factorization.

970681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370437 (or 3370426 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 970681248 is about 31155.7578627130. The cubic root of 970681248 is about 990.1299859931.

The spelling of 970681248 in words is "nine hundred seventy million, six hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3370421 6740842 10111263 13481684 20222526 26963368 30333789 40445052 53926736 60667578 80890104 107853472 121335156 161780208 242670312 323560416 485340624 970681248