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244868448 = 25311461503
BaseRepresentation
bin11101001100001…
…10010101100000
3122001202121100210
432212012111200
51000141242243
640144214120
76032230116
oct1646062540
9561677323
10244868448
11116249320
126a00a340
133b966a96
1424741ab6
151676d933
hexe986560

244868448 has 96 divisors (see below), whose sum is σ = 704132352. Its totient is φ = 73894400.

The previous prime is 244868443. The next prime is 244868461. The reversal of 244868448 is 844868442.

244868448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 244868397 and 244868406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244868443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486565 + ... + 487067.

It is an arithmetic number, because the mean of its divisors is an integer number (7334712).

Almost surely, 2244868448 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 244868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352066176).

244868448 is an abundant number, since it is smaller than the sum of its proper divisors (459263904).

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

244868448 is a wasteful number, since it uses less digits than its factorization.

244868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 48.

The square root of 244868448 is about 15648.2730037535. The cubic root of 244868448 is about 625.6204594709.

The spelling of 244868448 in words is "two hundred forty-four million, eight hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 461 503 528 922 1006 1056 1383 1509 1844 2012 2766 3018 3688 4024 5071 5532 5533 6036 7376 8048 10142 11064 11066 12072 14752 15213 16096 16599 20284 22128 22132 24144 30426 33198 40568 44256 44264 48288 60852 66396 81136 88528 121704 132792 162272 177056 231883 243408 265584 463766 486816 531168 695649 927532 1391298 1855064 2550713 2782596 3710128 5101426 5565192 7420256 7652139 10202852 11130384 15304278 20405704 22260768 30608556 40811408 61217112 81622816 122434224 244868448