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241656032 = 25233131049
BaseRepresentation
bin11100110011101…
…10000011100000
3121211201101202102
432121312003200
5443330443112
635551305532
75663020352
oct1631660340
9554641672
10241656032
11114454832
1268b1b2a8
133b0b0847
14241470d2
1516336bc2
hexe6760e0

241656032 has 48 divisors (see below), whose sum is σ = 498506400. Its totient is φ = 115095552.

The previous prime is 241656017. The next prime is 241656049. The reversal of 241656032 is 230656142.

It is a junction number, because it is equal to n+sod(n) for n = 241655986 and 241656004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229844 + ... + 230892.

It is an arithmetic number, because the mean of its divisors is an integer number (10385550).

Almost surely, 2241656032 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 241656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249253200).

241656032 is an abundant number, since it is smaller than the sum of its proper divisors (256850368).

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

241656032 is a wasteful number, since it uses less digits than its factorization.

241656032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 241656032 is about 15545.2897046018. The cubic root of 241656032 is about 622.8725807293.

The spelling of 241656032 in words is "two hundred forty-one million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 313 368 626 736 1049 1252 2098 2504 4196 5008 7199 8392 10016 14398 16784 24127 28796 33568 48254 57592 96508 115184 193016 230368 328337 386032 656674 772064 1313348 2626696 5253392 7551751 10506784 15103502 30207004 60414008 120828016 241656032