Search a number
-
+
244019952 = 24341117117
BaseRepresentation
bin11101000101101…
…11001011110000
3122000011111110000
432202313023300
5444432114302
640114110000
76022064301
oct1642671360
9560144400
10244019952
11115819890
126987b300
133b72a807
14245a07a8
151665231c
hexe8b72f0

244019952 has 100 divisors (see below), whose sum is σ = 770515416. Its totient is φ = 73941120.

The previous prime is 244019843. The next prime is 244019953. The reversal of 244019952 is 259910442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244019953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5698 + ... + 22814.

Almost surely, 2244019952 is an apocalyptic number.

244019952 is a gapful number since it is divisible by the number (22) 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 244019952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257708).

244019952 is an abundant number, since it is smaller than the sum of its proper divisors (526495464).

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

244019952 is a wasteful number, since it uses less digits than its factorization.

244019952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17148 (or 17133 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 244019952 is about 15621.1379867153. The cubic root of 244019952 is about 624.8970087361.

The spelling of 244019952 in words is "two hundred forty-four million, nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 17117 34234 51351 68468 102702 136936 154053 188287 205404 273872 308106 376574 410808 462159 564861 616212 753148 821616 924318 1129722 1232424 1386477 1506296 1694583 1848636 2259444 2464848 2772954 3012592 3389166 3697272 4518888 5083749 5545908 6778332 7394544 9037776 10167498 11091816 13556664 15251247 20334996 22183632 27113328 30502494 40669992 61004988 81339984 122009976 244019952