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244915968 = 2831153547
BaseRepresentation
bin11101001100100…
…01111100000000
3122001212000112210
432212101330000
51000144302333
640145222120
76032515503
oct1646217400
9561760483
10244915968
11116280aa0
126a031940
133b9825bb
142475513a
151677ca63
hexe991f00

244915968 has 144 divisors (see below), whose sum is σ = 725832576. Its totient is φ = 72683520.

The previous prime is 244915961. The next prime is 244915999. The reversal of 244915968 is 869519442.

244915968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244915961) 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, 447471 + ... + 448017.

It is an arithmetic number, because the mean of its divisors is an integer number (5040504).

Almost surely, 2244915968 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 244915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362916288).

244915968 is an abundant number, since it is smaller than the sum of its proper divisors (480916608).

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

244915968 is a wasteful number, since it uses less digits than its factorization.

244915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 616 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 244915968 is about 15649.7913085127. The cubic root of 244915968 is about 625.6609268614.

The spelling of 244915968 in words is "two hundred forty-four million, nine hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 256 264 318 352 384 424 528 547 583 636 704 768 848 1056 1094 1166 1272 1408 1641 1696 1749 2112 2188 2332 2544 2816 3282 3392 3498 4224 4376 4664 5088 6017 6564 6784 6996 8448 8752 9328 10176 12034 13128 13568 13992 17504 18051 18656 20352 24068 26256 27984 28991 35008 36102 37312 40704 48136 52512 55968 57982 70016 72204 74624 86973 96272 105024 111936 115964 140032 144408 149248 173946 192544 210048 223872 231928 288816 318901 347892 385088 420096 447744 463856 577632 637802 695784 770176 927712 956703 1155264 1275604 1391568 1540352 1855424 1913406 2310528 2551208 2783136 3710848 3826812 4621056 5102416 5566272 7421696 7653624 10204832 11132544 15307248 20409664 22265088 30614496 40819328 61228992 81638656 122457984 244915968