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997859520 = 26335722357
BaseRepresentation
bin111011011110100…
…010000011000000
32120112122111221000
4323132202003000
54020423001040
6243003332000
733504444300
oct7336420300
92515574830
10997859520
114722a1699
1223a221000
1312b96ab28
1496751600
155c90c130
hex3b7a20c0

997859520 has 336 divisors, whose sum is σ = 4096694880. Its totient is φ = 227985408.

The previous prime is 997859477. The next prime is 997859543. The reversal of 997859520 is 25958799.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 422182 + ... + 424538.

Almost surely, 2997859520 is an apocalyptic number.

997859520 is a gapful number since it is divisible by the number (90) 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 997859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048347440).

997859520 is an abundant number, since it is smaller than the sum of its proper divisors (3098835360).

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

997859520 is a wasteful number, since it uses less digits than its factorization.

997859520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The square root of 997859520 is about 31588.9145112649. The cubic root of 997859520 is about 999.2859969877.

The spelling of 997859520 in words is "nine hundred ninety-seven million, eight hundred fifty-nine thousand, five hundred twenty".