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970625024 = 2122310303
BaseRepresentation
bin111001110110101…
…001000000000000
32111122101212012222
4321312221000000
53441440000044
6240151510212
733024114365
oct7166510000
92448355188
10970625024
1145898aa46
12231088368
13126123845
1492ca246c
155a32c8ee
hex39da9000

970625024 has 52 divisors (see below), whose sum is σ = 2025601536. Its totient is φ = 464166912.

The previous prime is 970625017. The next prime is 970625057. The reversal of 970625024 is 420526079.

It is a super-2 number, since 2×9706250242 = 1884225874430001152, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89057 + ... + 99359.

Almost surely, 2970625024 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 970625024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012800768).

970625024 is an abundant number, since it is smaller than the sum of its proper divisors (1054976512).

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

970625024 is a wasteful number, since it uses less digits than its factorization.

970625024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 970625024 is about 31154.8555445215. The cubic root of 970625024 is about 990.1108687861.

The spelling of 970625024 in words is "nine hundred seventy million, six hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2944 4096 5888 10303 11776 20606 23552 41212 47104 82424 94208 164848 236969 329696 473938 659392 947876 1318784 1895752 2637568 3791504 5275136 7583008 10550272 15166016 21100544 30332032 42201088 60664064 121328128 242656256 485312512 970625024