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241087248 = 243231531019
BaseRepresentation
bin11100101111010…
…11001100010000
3121210122111112100
432113223030100
5443204242443
635531200400
75655131163
oct1627531420
9553574470
10241087248
111140a6466
12688a6100
133ac4199c
1424039ada
15162733d3
hexe5eb310

241087248 has 120 divisors (see below), whose sum is σ = 710311680. Its totient is φ = 76227840.

The previous prime is 241087243. The next prime is 241087261. The reversal of 241087248 is 842780142.

241087248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2410872482 = 116246122296427008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (241087243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236083 + ... + 237101.

It is an arithmetic number, because the mean of its divisors is an integer number (5919264).

Almost surely, 2241087248 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 241087248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355155840).

241087248 is an abundant number, since it is smaller than the sum of its proper divisors (469224432).

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

241087248 is a wasteful number, since it uses less digits than its factorization.

241087248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 241087248 is about 15526.9845108443. The cubic root of 241087248 is about 622.3835133078.

The spelling of 241087248 in words is "two hundred forty-one million, eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 53 62 72 93 106 124 144 159 186 212 248 279 318 372 424 477 496 558 636 744 848 954 1019 1116 1272 1488 1643 1908 2038 2232 2544 3057 3286 3816 4076 4464 4929 6114 6572 7632 8152 9171 9858 12228 13144 14787 16304 18342 19716 24456 26288 29574 31589 36684 39432 48912 54007 59148 63178 73368 78864 94767 108014 118296 126356 146736 162021 189534 216028 236592 252712 284301 324042 379068 432056 486063 505424 568602 648084 758136 864112 972126 1137204 1296168 1516272 1674217 1944252 2274408 2592336 3348434 3888504 4548816 5022651 6696868 7777008 10045302 13393736 15067953 20090604 26787472 30135906 40181208 60271812 80362416 120543624 241087248