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241115392 = 287197683
BaseRepresentation
bin11100101111100…
…10000100000000
3121210200221010201
432113302010000
5443211143032
635531534544
75655306220
oct1627620400
9553627121
10241115392
11114115621
12688ba454
133ac5173b
1424046080
151627b8e7
hexe5f2100

241115392 has 72 divisors (see below), whose sum is σ = 553646016. Its totient is φ = 102660096.

The previous prime is 241115387. The next prime is 241115401. The reversal of 241115392 is 293511142.

241115392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 241115392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352683 + ... + 353365.

It is an arithmetic number, because the mean of its divisors is an integer number (7689528).

Almost surely, 2241115392 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 241115392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276823008).

241115392 is an abundant number, since it is smaller than the sum of its proper divisors (312530624).

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

241115392 is an equidigital number, since it uses as much as digits as its factorization.

241115392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 889 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 241115392 is about 15527.8907775654. The cubic root of 241115392 is about 622.4077309305.

The spelling of 241115392 in words is "two hundred forty-one million, one hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 256 394 448 683 788 896 1366 1379 1576 1792 2732 2758 3152 4781 5464 5516 6304 9562 10928 11032 12608 19124 21856 22064 25216 38248 43712 44128 50432 76496 87424 88256 134551 152992 174848 176512 269102 305984 353024 538204 611968 941857 1076408 1223936 1883714 2152816 3767428 4305632 7534856 8611264 15069712 17222528 30139424 34445056 60278848 120557696 241115392