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244563968 = 214112359
BaseRepresentation
bin11101001001111…
…00000000000000
3122001012010200202
432210330000000
51000102021333
640133504332
76026521325
oct1644740000
9561163622
10244563968
11116060590
1269aa20a8
133b88b30c
14246a2b4c
151670d5e8
hexe93c000

244563968 has 120 divisors (see below), whose sum is σ = 566213760. Its totient is φ = 104529920.

The previous prime is 244563961. The next prime is 244563971. The reversal of 244563968 is 869365442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244563961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4145123 + ... + 4145181.

It is an arithmetic number, because the mean of its divisors is an integer number (4718448).

Almost surely, 2244563968 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 244563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283106880).

244563968 is an abundant number, since it is smaller than the sum of its proper divisors (321649792).

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

244563968 is an equidigital number, since it uses as much as digits as its factorization.

244563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 47.

The square root of 244563968 is about 15638.5411084282. The cubic root of 244563968 is about 625.3610440886.

The spelling of 244563968 in words is "two hundred forty-four million, five hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 59 64 88 92 118 128 176 184 236 253 256 352 368 472 506 512 649 704 736 944 1012 1024 1298 1357 1408 1472 1888 2024 2048 2596 2714 2816 2944 3776 4048 4096 5192 5428 5632 5888 7552 8096 8192 10384 10856 11264 11776 14927 15104 16192 16384 20768 21712 22528 23552 29854 30208 32384 41536 43424 45056 47104 59708 60416 64768 83072 86848 90112 94208 119416 120832 129536 166144 173696 180224 188416 238832 241664 259072 332288 347392 376832 477664 483328 518144 664576 694784 955328 966656 1036288 1329152 1389568 1910656 2072576 2658304 2779136 3821312 4145152 5316608 5558272 7642624 10633216 11116544 15285248 22233088 30570496 61140992 122281984 244563968