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241919808 = 26313103941
BaseRepresentation
bin11100110101101…
…10011101000000
3121212012210120220
432122312131000
5443412413213
640001103040
75665166364
oct1632663500
9555183526
10241919808
11114614a29
1269027a80
133b173920
14241b52a4
1516389e23
hexe6b6740

241919808 has 112 divisors (see below), whose sum is σ = 696748416. Its totient is φ = 73635840.

The previous prime is 241919807. The next prime is 241919833. The reversal of 241919808 is 808919142.

241919808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 241919808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241919807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256618 + ... + 257558.

It is an arithmetic number, because the mean of its divisors is an integer number (6220968).

Almost surely, 2241919808 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 241919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348374208).

241919808 is an abundant number, since it is smaller than the sum of its proper divisors (454828608).

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

241919808 is a wasteful number, since it uses less digits than its factorization.

241919808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 241919808 is about 15553.7715040436. The cubic root of 241919808 is about 623.0991273810.

The spelling of 241919808 in words is "two hundred forty-one million, nine hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 156 192 206 208 309 312 412 416 618 624 824 832 941 1236 1248 1339 1648 1882 2472 2496 2678 2823 3296 3764 4017 4944 5356 5646 6592 7528 8034 9888 10712 11292 12233 15056 16068 19776 21424 22584 24466 30112 32136 36699 42848 45168 48932 60224 64272 73398 85696 90336 96923 97864 128544 146796 180672 193846 195728 257088 290769 293592 387692 391456 581538 587184 775384 782912 1163076 1174368 1259999 1550768 2326152 2348736 2519998 3101536 3779997 4652304 5039996 6203072 7559994 9304608 10079992 15119988 18609216 20159984 30239976 40319968 60479952 80639936 120959904 241919808