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997548993 = 3375278037
BaseRepresentation
bin111011011101010…
…110001111000001
32120112001201222000
4323131112033001
54020333031433
6242552534213
733502012050
oct7335261701
92515051860
10997548993
114720aa361
1223a0b1369
1312b88c69c
14966b0397
155c89a113
hex3b7563c1

997548993 has 16 divisors (see below), whose sum is σ = 1688972160. Its totient is φ = 570027888.

The previous prime is 997548977. The next prime is 997549019. The reversal of 997548993 is 399845799.

It is a happy number.

It is not a de Polignac number, because 997548993 - 24 = 997548977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 997548993.

It is not an unprimeable number, because it can be changed into a prime (997548913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2638830 + ... + 2639207.

It is an arithmetic number, because the mean of its divisors is an integer number (105560760).

Almost surely, 2997548993 is an apocalyptic number.

It is an amenable number.

997548993 is a deficient number, since it is larger than the sum of its proper divisors (691423167).

997548993 is a wasteful number, since it uses less digits than its factorization.

997548993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278053 (or 5278047 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 997548993 is about 31583.9990026596. Note that the first 3 decimals coincide. The cubic root of 997548993 is about 999.1823292635.

Adding to 997548993 its sum of digits (63), we get a square (997549056 = 315842).

The spelling of 997548993 in words is "nine hundred ninety-seven million, five hundred forty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 189 5278037 15834111 36946259 47502333 110838777 142506999 332516331 997548993