Search a number
-
+
241125248 = 27713127163
BaseRepresentation
bin11100101111101…
…00011110000000
3121210201102122202
432113310132000
5443212001443
635532052332
75655350030
oct1627643600
9553642582
10241125248
11114121a71
12689040a8
133ac56080
14240498c0
151627e7b8
hexe5f4780

241125248 has 128 divisors (see below), whose sum is σ = 599531520. Its totient is φ = 94058496.

The previous prime is 241125211. The next prime is 241125251. The reversal of 241125248 is 842521142.

241125248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 241125248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1479215 + ... + 1479377.

It is an arithmetic number, because the mean of its divisors is an integer number (4683840).

Almost surely, 2241125248 is an apocalyptic number.

241125248 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 241125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299765760).

241125248 is an abundant number, since it is smaller than the sum of its proper divisors (358406272).

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

241125248 is a wasteful number, since it uses less digits than its factorization.

241125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 241125248 is about 15528.2081387390. The cubic root of 241125248 is about 622.4162114717.

The spelling of 241125248 in words is "two hundred forty-one million, one hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 128 163 182 208 224 254 326 364 416 448 508 652 728 832 889 896 1016 1141 1304 1456 1651 1664 1778 2032 2119 2282 2608 2912 3302 3556 4064 4238 4564 5216 5824 6604 7112 8128 8476 9128 10432 11557 11648 13208 14224 14833 16256 16952 18256 20701 20864 23114 26416 28448 29666 33904 36512 41402 46228 52832 56896 59332 67808 73024 82804 92456 105664 113792 118664 135616 144907 146048 165608 184912 211328 237328 269113 271232 289814 331216 369824 474656 538226 579628 662432 739648 949312 1076452 1159256 1324864 1479296 1883791 1898624 2152904 2318512 2649728 3767582 4305808 4637024 7535164 8611616 9274048 15070328 17223232 18548096 30140656 34446464 60281312 120562624 241125248