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244985104 = 2472132432
BaseRepresentation
bin11101001101000…
…10110100010000
3122001222112101101
432212202310100
51000204010404
640150514144
76033224200
oct1646426420
9561875341
10244985104
11116318a31
126a065954
133b9a7c00
1424772400
15167932a4
hexe9a2d10

244985104 has 135 divisors (see below), whose sum is σ = 612122373. Its totient is φ = 94663296.

The previous prime is 244985101. The next prime is 244985131. The reversal of 244985104 is 401589442.

The square root of 244985104 is 15652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36240400 + 208744704 = 6020^2 + 14448^2 .

It is a super-3 number, since 3×2449851043 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (244985101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5697307 + ... + 5697349.

Almost surely, 2244985104 is an apocalyptic number.

244985104 is the 15652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244985104

244985104 is an abundant number, since it is smaller than the sum of its proper divisors (367137269).

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

244985104 is a wasteful number, since it uses less digits than its factorization.

244985104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 244985104 is about 625.7197927991.

The spelling of 244985104 in words is "two hundred forty-four million, nine hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 43 49 52 56 86 91 98 104 112 169 172 182 196 208 301 338 344 364 392 559 602 637 676 688 728 784 1118 1183 1204 1274 1352 1456 1849 2107 2236 2366 2408 2548 2704 3698 3913 4214 4472 4732 4816 5096 7267 7396 7826 8281 8428 8944 9464 10192 12943 14534 14792 15652 16562 16856 18928 24037 25886 27391 29068 29584 31304 33124 33712 48074 50869 51772 54782 58136 62608 66248 90601 96148 101738 103544 109564 116272 132496 168259 181202 192296 203476 207088 219128 312481 336518 356083 362404 384592 406952 438256 624962 673036 712166 724808 813904 1177813 1249924 1346072 1424332 1449616 2187367 2355626 2499848 2692144 2848664 4374734 4711252 4999696 5697328 8749468 9422504 15311569 17498936 18845008 30623138 34997872 61246276 122492552 244985104