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293879999449 = 61288872
BaseRepresentation
bin1000100011011001001…
…11001110101111011001
31001002120000001210021001
410101230213032233121
514303331234440244
6343001232145001
730142422531211
oct4215447165731
91032500053231
10293879999449
111036a7664303
1248b57998161
1321935c388ca
141031c417241
1579a02705d4
hex446c9cebd9

293879999449 has 9 divisors (see below), whose sum is σ = 298810306431. Its totient is φ = 289029768120.

The previous prime is 293879999431. The next prime is 293879999489. The reversal of 293879999449 is 944999978392.

It is a happy number.

The square root of 293879999449 is 542107.

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

It can be written as a sum of positive squares in only one way, i.e., 9556431049 + 284323568400 = 97757^2 + 533220^2 .

It is not a de Polignac number, because 293879999449 - 211 = 293879997401 is a prime.

It is a super-2 number, since 2×2938799994492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (293879999489) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33064084 + ... + 33072970.

It is an arithmetic number, because the mean of its divisors is an integer number (33201145159).

Almost surely, 2293879999449 is an apocalyptic number.

293879999449 is the 542107-th square number.

293879999449 is the 271054-th centered octagonal number.

It is an amenable number.

293879999449 is a deficient number, since it is larger than the sum of its proper divisors (4930306982).

293879999449 is an frugal number, since it uses more digits than its factorization.

293879999449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17896 (or 8948 counting only the distinct ones).

The product of its digits is 2857026816, while the sum is 82.

The spelling of 293879999449 in words is "two hundred ninety-three billion, eight hundred seventy-nine million, nine hundred ninety-nine thousand, four hundred forty-nine".

Divisors: 1 61 3721 8887 542107 33068527 78978769 4817704909 293879999449