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241979248 = 2472292367
BaseRepresentation
bin11100110110001…
…00111101110000
3121212022211010101
432123010331300
5443421313443
640002242144
75665534600
oct1633047560
9555284111
10241979248
11114655655
1269056354
133b1949b4
14241ccc00
151639c84d
hexe6c4f70

241979248 has 90 divisors (see below), whose sum is σ = 566372976. Its totient is φ = 99856512.

The previous prime is 241979203. The next prime is 241979249. The reversal of 241979248 is 842979142.

It is a junction number, because it is equal to n+sod(n) for n = 241979198 and 241979207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241979249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 659161 + ... + 659527.

Almost surely, 2241979248 is an apocalyptic number.

241979248 is a gapful number since it is divisible by the number (28) 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 241979248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283186488).

241979248 is an abundant number, since it is smaller than the sum of its proper divisors (324393728).

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

241979248 is a wasteful number, since it uses less digits than its factorization.

241979248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 405 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 241979248 is about 15555.6821772624. The cubic root of 241979248 is about 623.1501552809.

The spelling of 241979248 in words is "two hundred forty-one million, nine hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 367 392 406 464 734 784 812 841 1421 1468 1624 1682 2569 2842 2936 3248 3364 5138 5684 5872 5887 6728 10276 10643 11368 11774 13456 17983 20552 21286 22736 23548 35966 41104 41209 42572 47096 71932 74501 82418 85144 94192 143864 149002 164836 170288 287728 298004 308647 329672 521507 596008 617294 659344 1043014 1192016 1234588 2086028 2160529 2469176 4172056 4321058 4938352 8344112 8642116 15123703 17284232 30247406 34568464 60494812 120989624 241979248