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693148144 = 241317918617
BaseRepresentation
bin101001010100001…
…001100111110000
31210022021120111111
4221110021213300
52404421220034
6152440323104
723114443033
oct5124114760
91708246444
10693148144
1132629a507
12174173494
13b07b0740
14680b301a
1540cbc364
hex295099f0

693148144 has 40 divisors (see below), whose sum is σ = 1454438160. Its totient is φ = 318110208.

The previous prime is 693148097. The next prime is 693148187. The reversal of 693148144 is 441841396.

It is a junction number, because it is equal to n+sod(n) for n = 693148097 and 693148106.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 27924 + ... + 46540.

It is an arithmetic number, because the mean of its divisors is an integer number (36360954).

Almost surely, 2693148144 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 693148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727219080).

693148144 is an abundant number, since it is smaller than the sum of its proper divisors (761290016).

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

693148144 is a wasteful number, since it uses less digits than its factorization.

693148144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18817 (or 18811 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 693148144 is about 26327.7067744230. The cubic root of 693148144 is about 884.9974545343.

The spelling of 693148144 in words is "six hundred ninety-three million, one hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 716 1432 2327 2864 4654 9308 18616 18617 37232 37234 74468 148936 242021 297872 484042 968084 1936168 3332443 3872336 6664886 13329772 26659544 43321759 53319088 86643518 173287036 346574072 693148144