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244542816 = 253271011201
BaseRepresentation
bin11101001001101…
…10110101100000
3122001011001200100
432210312311200
51000100332231
640133222400
76026402550
oct1644666540
9561131610
10244542816
11116046701
1269a91a00
133b8817bb
1424699160
15167071e6
hexe936d60

244542816 has 144 divisors (see below), whose sum is σ = 803301408. Its totient is φ = 69120000.

The previous prime is 244542811. The next prime is 244542853. The reversal of 244542816 is 618245442.

244542816 is digitally balanced in base 2, 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244542811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203016 + ... + 204216.

It is an arithmetic number, because the mean of its divisors is an integer number (5578482).

Almost surely, 2244542816 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 244542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401650704).

244542816 is an abundant number, since it is smaller than the sum of its proper divisors (558758592).

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

244542816 is a wasteful number, since it uses less digits than its factorization.

244542816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1314 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 244542816 is about 15637.8648158884. The cubic root of 244542816 is about 625.3430146977.

The spelling of 244542816 in words is "two hundred forty-four million, five hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 404 504 606 672 707 808 909 1008 1201 1212 1414 1616 1818 2016 2121 2402 2424 2828 3232 3603 3636 4242 4804 4848 5656 6363 7206 7272 8407 8484 9608 9696 10809 11312 12726 14412 14544 16814 16968 19216 21618 22624 25221 25452 28824 29088 33628 33936 38432 43236 50442 50904 57648 67256 67872 75663 86472 100884 101808 115296 121301 134512 151326 172944 201768 203616 242602 269024 302652 345888 363903 403536 485204 605304 727806 807072 849107 970408 1091709 1210608 1455612 1698214 1940816 2183418 2421216 2547321 2911224 3396428 3881632 4366836 5094642 5822448 6792856 7641963 8733672 10189284 11644896 13585712 15283926 17467344 20378568 27171424 30567852 34934688 40757136 61135704 81514272 122271408 244542816