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244795040 = 25571271721
BaseRepresentation
bin11101001011101…
…00011010100000
3122001121212122222
432211310122200
51000131420130
640142450212
76031503110
oct1645643240
9561555588
10244795040
111161a9156
1269b93968
133b93c549
1424723040
1516756ce5
hexe9746a0

244795040 has 96 divisors (see below), whose sum is σ = 666537984. Its totient is φ = 83220480.

The previous prime is 244795039. The next prime is 244795043. The reversal of 244795040 is 40597442.

It is a super-2 number, since 2×2447950402 = 119849223217203200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (244795043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141380 + ... + 143100.

It is an arithmetic number, because the mean of its divisors is an integer number (6943104).

Almost surely, 2244795040 is an apocalyptic number.

244795040 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 244795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333268992).

244795040 is an abundant number, since it is smaller than the sum of its proper divisors (421742944).

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

244795040 is a wasteful number, since it uses less digits than its factorization.

244795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 244795040 is about 15645.9272655858. The cubic root of 244795040 is about 625.5579359171.

The spelling of 244795040 in words is "two hundred forty-four million, seven hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 127 140 160 224 254 280 508 560 635 889 1016 1120 1270 1721 1778 2032 2540 3442 3556 4064 4445 5080 6884 7112 8605 8890 10160 12047 13768 14224 17210 17780 20320 24094 27536 28448 34420 35560 48188 55072 60235 68840 71120 96376 120470 137680 142240 192752 218567 240940 275360 385504 437134 481880 874268 963760 1092835 1529969 1748536 1927520 2185670 3059938 3497072 4371340 6119876 6994144 7649845 8742680 12239752 15299690 17485360 24479504 30599380 34970720 48959008 61198760 122397520 244795040