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997168480 = 255711292791
BaseRepresentation
bin111011011011111…
…001010101100000
32120111100101222221
4323123321111200
54020233342410
6242540440424
733465535510
oct7333712540
92514311887
10997168480
1147196a490
12239b49114
1312b788429
1496611840
155c8224da
hex3b6f9560

997168480 has 192 divisors, whose sum is σ = 3039482880. Its totient is φ = 299980800.

The previous prime is 997168457. The next prime is 997168489. The reversal of 997168480 is 84861799.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997168489) 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 31 ways as a sum of consecutive naturals, for example, 355885 + ... + 358675.

It is an arithmetic number, because the mean of its divisors is an integer number (15830640).

Almost surely, 2997168480 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 997168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519741440).

997168480 is an abundant number, since it is smaller than the sum of its proper divisors (2042314400).

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

997168480 is a wasteful number, since it uses less digits than its factorization.

997168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 997168480 is about 31577.9746025612. The cubic root of 997168480 is about 999.0552677621.

The spelling of 997168480 in words is "nine hundred ninety-seven million, one hundred sixty-eight thousand, four hundred eighty".