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244649106 = 23313379419
BaseRepresentation
bin11101001010100…
…00110010010010
3122001100110111000
432211100302102
51000112232411
640135402430
76030324462
oct1645206222
9561313430
10244649106
11116109549
1269b23416
133b8bacb0
14246c5ba2
1516728956
hexe950c92

244649106 has 64 divisors (see below), whose sum is σ = 601372800. Its totient is φ = 73234368.

The previous prime is 244649081. The next prime is 244649123. The reversal of 244649106 is 601946442.

244649106 is a `hidden beast` number, since 2 + 4 + 4 + 649 + 1 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21265 + ... + 30683.

It is an arithmetic number, because the mean of its divisors is an integer number (9396450).

Almost surely, 2244649106 is an apocalyptic number.

244649106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244649106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300686400).

244649106 is an abundant number, since it is smaller than the sum of its proper divisors (356723694).

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

244649106 is a wasteful number, since it uses less digits than its factorization.

244649106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 244649106 is about 15641.2629285490. The cubic root of 244649106 is about 625.4336028987.

The spelling of 244649106 in words is "two hundred forty-four million, six hundred forty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 222 234 333 351 481 666 702 962 999 1443 1998 2886 4329 8658 9419 12987 18838 25974 28257 56514 84771 122447 169542 244894 254313 348503 367341 508626 697006 734682 1045509 1102023 2091018 2204046 3136527 3306069 4530539 6273054 6612138 9061078 9409581 13591617 18819162 27183234 40774851 81549702 122324553 244649106