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244248864 = 2534615519
BaseRepresentation
bin11101000111011…
…11000100100000
3122000121010110020
432203233010200
51000011430424
640123033440
76024036546
oct1643570440
9560533406
10244248864
11115965872
126996b880
133b7aaa72
142461dd96
151669a079
hexe8ef120

244248864 has 48 divisors (see below), whose sum is σ = 642660480. Its totient is φ = 81224960.

The previous prime is 244248859. The next prime is 244248869. The reversal of 244248864 is 468842442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (244248859) and next prime (244248869).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (244248869) by changing a digit.

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, 41497 + ... + 47015.

It is an arithmetic number, because the mean of its divisors is an integer number (13388760).

Almost surely, 2244248864 is an apocalyptic number.

244248864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244248864 is an abundant number, since it is smaller than the sum of its proper divisors (398411616).

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

244248864 is a wasteful number, since it uses less digits than its factorization.

244248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5985 counting only the distinct ones).

The product of its digits is 393216, while the sum is 42.

The square root of 244248864 is about 15628.4632641856. The cubic root of 244248864 is about 625.0923503003.

The spelling of 244248864 in words is "two hundred forty-four million, two hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 461 922 1383 1844 2766 3688 5519 5532 7376 11038 11064 14752 16557 22076 22128 33114 44152 44256 66228 88304 132456 176608 264912 529824 2544259 5088518 7632777 10177036 15265554 20354072 30531108 40708144 61062216 81416288 122124432 244248864