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997976 = 23771251
BaseRepresentation
bin11110011101001011000
31212200222002
43303221120
5223413401
633220132
711324360
oct3635130
91780862
10997976
11621881
12401648
1328c325
141bd9a0
1514aa6b
hexf3a58

997976 has 32 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 420000.

The previous prime is 997973. The next prime is 997991. The reversal of 997976 is 679799.

It is a self number, because there is not a number n which added to its sum of digits gives 997976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997973) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3851 + ... + 4101.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2997976 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 997976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

997976 is an abundant number, since it is smaller than the sum of its proper divisors (1179304).

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

997976 is a wasteful number, since it uses less digits than its factorization.

997976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its digits is 214326, while the sum is 47.

The square root of 997976 is about 998.9874874091. The cubic root of 997976 is about 99.9324877646.

The spelling of 997976 in words is "nine hundred ninety-seven thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 56 71 142 251 284 497 502 568 994 1004 1757 1988 2008 3514 3976 7028 14056 17821 35642 71284 124747 142568 249494 498988 997976