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244988040 = 233511315987
BaseRepresentation
bin11101001101000…
…11100010001000
3122001222200102010
432212203202020
51000204104130
640150535520
76033235563
oct1646434210
9561880363
10244988040
11116320160
126a0675a0
133b9a934b
14247734da
15167940b0
hexe9a3888

244988040 has 128 divisors (see below), whose sum is σ = 827781120. Its totient is φ = 57465600.

The previous prime is 244987993. The next prime is 244988041. The reversal of 244988040 is 40889442.

It is a self number, because there is not a number n which added to its sum of digits gives 244988040.

It is not an unprimeable number, because it can be changed into a prime (244988041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37927 + ... + 43913.

It is an arithmetic number, because the mean of its divisors is an integer number (6467040).

Almost surely, 2244988040 is an apocalyptic number.

244988040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244988040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413890560).

244988040 is an abundant number, since it is smaller than the sum of its proper divisors (582793080).

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

244988040 is a wasteful number, since it uses less digits than its factorization.

244988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 244988040 is about 15652.0937896500. The cubic root of 244988040 is about 625.7222924150.

The spelling of 244988040 in words is "two hundred forty-four million, nine hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 5987 6820 8184 10230 11974 13640 17961 20460 23948 29935 35922 40920 47896 59870 65857 71844 89805 119740 131714 143688 179610 185597 197571 239480 263428 329285 359220 371194 395142 526856 556791 658570 718440 742388 790284 927985 987855 1113582 1317140 1484776 1580568 1855970 1975710 2041567 2227164 2634280 2783955 3711940 3951420 4083134 4454328 5567910 6124701 7423880 7902840 8166268 10207835 11135820 12249402 16332536 20415670 22271640 24498804 30623505 40831340 48997608 61247010 81662680 122494020 244988040