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997962100 = 22529979621
BaseRepresentation
bin111011011110111…
…011000101110100
32120112211201122021
4323132323011310
54020434241400
6243005442524
733505352332
oct7336730564
92515751567
10997962100
11472361773
1223a270444
1312b9a5725
149677ab52
155c92c71a
hex3b7bb174

997962100 has 18 divisors (see below), whose sum is σ = 2165577974. Its totient is φ = 399184800.

The previous prime is 997962083. The next prime is 997962109. The reversal of 997962100 is 1269799.

It can be written as a sum of positive squares in 3 ways, for example, as 288592144 + 709369956 = 16988^2 + 26634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997962109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4989711 + ... + 4989910.

Almost surely, 2997962100 is an apocalyptic number.

It is an amenable number.

997962100 is an abundant number, since it is smaller than the sum of its proper divisors (1167615874).

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

997962100 is a wasteful number, since it uses less digits than its factorization.

997962100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979635 (or 9979628 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The square root of 997962100 is about 31590.5381403989. The cubic root of 997962100 is about 999.3202380284.

The spelling of 997962100 in words is "nine hundred ninety-seven million, nine hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9979621 19959242 39918484 49898105 99796210 199592420 249490525 498981050 997962100