Search a number
-
+
241591248 = 24341311423
BaseRepresentation
bin11100110011001…
…10001111010000
3121211121002220000
432121212033100
5443321404443
635550050000
75662330443
oct1631461720
9554532800
10241591248
11114410098
1268aa9900
133b08a202
142412b65a
15163228d3
hexe6663d0

241591248 has 100 divisors (see below), whose sum is σ = 705067968. Its totient is φ = 79859520.

The previous prime is 241591247. The next prime is 241591249. The reversal of 241591248 is 842195142.

241591248 is a `hidden beast` number, since 2 + 41 + 591 + 24 + 8 = 666.

241591248 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241591247) and next prime (241591249).

It is a super-2 number, since 2×2415912482 = 116732662220395008, which contains 22 as substring.

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 (241591247) 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, 169065 + ... + 170487.

Almost surely, 2241591248 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 241591248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352533984).

241591248 is an abundant number, since it is smaller than the sum of its proper divisors (463476720).

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

241591248 is a wasteful number, since it uses less digits than its factorization.

241591248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1559 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 241591248 is about 15543.2058469287. The cubic root of 241591248 is about 622.8169151297.

The spelling of 241591248 in words is "two hundred forty-one million, five hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 324 393 432 524 648 786 1048 1179 1296 1423 1572 2096 2358 2846 3144 3537 4269 4716 5692 6288 7074 8538 9432 10611 11384 12807 14148 17076 18864 21222 22768 25614 28296 34152 38421 42444 51228 56592 68304 76842 84888 102456 115263 153684 169776 186413 204912 230526 307368 372826 461052 559239 614736 745652 922104 1118478 1491304 1677717 1844208 2236956 2982608 3355434 4473912 5033151 6710868 8947824 10066302 13421736 15099453 20132604 26843472 30198906 40265208 60397812 80530416 120795624 241591248