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997463808 = 2834114373
BaseRepresentation
bin111011011101000…
…001011100000000
32120111220102010000
4323131001130000
54020322320213
6242551040000
733501205515
oct7335013400
92514812100
10997463808
11472051360
1223a070000
1312b85c993
149668b30c
155c87ec73
hex3b741700

997463808 has 180 divisors, whose sum is σ = 3245385528. Its totient is φ = 302192640.

The previous prime is 997463807. The next prime is 997463813. The reversal of 997463808 is 808364799.

It is a super-3 number, since 3×9974638083 (a number of 28 digits) contains 333 as substring.

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 (997463801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225910 + ... + 230282.

Almost surely, 2997463808 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 997463808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622692764).

997463808 is an abundant number, since it is smaller than the sum of its proper divisors (2247921720).

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

997463808 is a wasteful number, since it uses less digits than its factorization.

997463808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 997463808 is about 31582.6504270937. The cubic root of 997463808 is about 999.1538869613.

The spelling of 997463808 in words is "nine hundred ninety-seven million, four hundred sixty-three thousand, eight hundred eight".