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969125248 = 277131929151
BaseRepresentation
bin111001110000111…
…010110110000000
32111112120122220201
4321300322312000
53441044001443
6240055414544
733005300020
oct7160726600
92445518821
10969125248
11458056163
12230684454
13125a19cc0
14929d1a80
155a13334d
hex39c3ad80

969125248 has 256 divisors, whose sum is σ = 2604672000. Its totient is φ = 348364800.

The previous prime is 969125233. The next prime is 969125291. The reversal of 969125248 is 842521969.

It is a super-2 number, since 2×9691252482 = 1878407492622123008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 969125198 and 969125207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6417973 + ... + 6418123.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2969125248 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 969125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302336000).

969125248 is an abundant number, since it is smaller than the sum of its proper divisors (1635546752).

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

969125248 is a wasteful number, since it uses less digits than its factorization.

969125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 969125248 is about 31130.7765402664. The cubic root of 969125248 is about 989.6006442857.

The spelling of 969125248 in words is "nine hundred sixty-nine million, one hundred twenty-five thousand, two hundred forty-eight".