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970478208 = 27327151797
BaseRepresentation
bin111001110110000…
…101001010000000
32111122010101211100
4321312011022000
53441420300313
6240144414400
733022633350
oct7166051200
92448111740
10970478208
1145889a707
12231017400
131260a1a7b
1492c64b60
155a2ee173
hex39d85280

970478208 has 192 divisors, whose sum is σ = 3216769920. Its totient is φ = 275097600.

The previous prime is 970478207. The next prime is 970478213. The reversal of 970478208 is 802874079.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (970478207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217266 + ... + 1218062.

It is an arithmetic number, because the mean of its divisors is an integer number (16754010).

Almost surely, 2970478208 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 970478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608384960).

970478208 is an abundant number, since it is smaller than the sum of its proper divisors (2246291712).

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

970478208 is a wasteful number, since it uses less digits than its factorization.

970478208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 970478208 is about 31152.4992255838. The cubic root of 970478208 is about 990.0609451309.

The spelling of 970478208 in words is "nine hundred seventy million, four hundred seventy-eight thousand, two hundred eight".