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997622496 = 253213416797
BaseRepresentation
bin111011011101101…
…000001011100000
32120112012110210100
4323131220023200
54020342404441
6242554302400
733502436253
oct7335501340
92515173710
10997622496
1147214a602
1223a127a00
1312b8b6c90
14966cd09a
155c8b1cb6
hex3b7682e0

997622496 has 288 divisors, whose sum is σ = 3209195808. Its totient is φ = 291962880.

The previous prime is 997622477. The next prime is 997622503. The reversal of 997622496 is 694226799.

997622496 is a `hidden beast` number, since 9 + 9 + 7 + 622 + 4 + 9 + 6 = 666.

997622496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10284720 + ... + 10284816.

It is an arithmetic number, because the mean of its divisors is an integer number (11143041).

Almost surely, 2997622496 is an apocalyptic number.

997622496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997622496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604597904).

997622496 is an abundant number, since it is smaller than the sum of its proper divisors (2211573312).

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

997622496 is a wasteful number, since it uses less digits than its factorization.

997622496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 997622496 is about 31585.1625925845. The cubic root of 997622496 is about 999.2068697774.

The spelling of 997622496 in words is "nine hundred ninety-seven million, six hundred twenty-two thousand, four hundred ninety-six".