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23826083449 = 72220512
BaseRepresentation
bin10110001100001001…
…010010111001111001
32021111110222110001011
4112030021102321321
5342243434132244
614540123353521
71502301240100
oct261411227171
967443873034
1023826083449
11a117226163
12474b3828a1
13232927543c
1412204c7037
15946ada434
hex58c252e79

23826083449 has 9 divisors (see below), whose sum is σ = 27717313221. Its totient is φ = 20421431100.

The previous prime is 23826083441. The next prime is 23826083461. The reversal of 23826083449 is 94438062832.

The square root of 23826083449 is 154357.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 23826083449 - 23 = 23826083441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23826083441) 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 8 ways as a sum of consecutive naturals, for example, 1069474 + ... + 1091524.

It is an arithmetic number, because the mean of its divisors is an integer number (3079701469).

Almost surely, 223826083449 is an apocalyptic number.

23826083449 is the 154357-th square number.

23826083449 is the 77179-th centered octagonal number.

It is an amenable number.

23826083449 is a deficient number, since it is larger than the sum of its proper divisors (3891229772).

23826083449 is an frugal number, since it uses more digits than its factorization.

23826083449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44116 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 23826083449 by its sum of digits (49), we get a square (1167478089001 = 10804992).

23826083449 divided by its sum of digits (49) gives a square (486246601 = 220512).

The spelling of 23826083449 in words is "twenty-three billion, eight hundred twenty-six million, eighty-three thousand, four hundred forty-nine".

Divisors: 1 7 49 22051 154357 1080499 486246601 3403726207 23826083449