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970489296 = 243372192127
BaseRepresentation
bin111001110110000…
…111110111010000
32111122010222001000
4321312013313100
53441421124141
6240144542000
733023010600
oct7166076720
92448128030
10970489296
114588a7a77
12231021900
131260a6b2a
1492c68c00
155a3025b6
hex39d87dd0

970489296 has 360 divisors, whose sum is σ = 3446922240. Its totient is φ = 260620416.

The previous prime is 970489291. The next prime is 970489297. The reversal of 970489296 is 692984079.

970489296 is a `hidden beast` number, since 9 + 70 + 489 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970489291) 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 71 ways as a sum of consecutive naturals, for example, 7641585 + ... + 7641711.

It is an arithmetic number, because the mean of its divisors is an integer number (9574784).

Almost surely, 2970489296 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 970489296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723461120).

970489296 is an abundant number, since it is smaller than the sum of its proper divisors (2476432944).

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

970489296 is a wasteful number, since it uses less digits than its factorization.

970489296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 970489296 is about 31152.6771883252. The cubic root of 970489296 is about 990.0647156960.

The spelling of 970489296 in words is "nine hundred seventy million, four hundred eighty-nine thousand, two hundred ninety-six".