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241920832 = 265373977
BaseRepresentation
bin11100110101101…
…10101101000000
3121212012211222211
432122312231000
5443412431312
640001111504
75665202356
oct1632665500
9555184884
10241920832
1111461577a
1269028594
133b17422a
14241b57d6
151638a3a7
hexe6b6b40

241920832 has 56 divisors (see below), whose sum is σ = 496327176. Its totient is φ = 116932608.

The previous prime is 241920821. The next prime is 241920839. The reversal of 241920832 is 238029142.

241920832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125798656 + 116122176 = 11216^2 + 10776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241920794 and 241920803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241920839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247128 + ... + 248104.

Almost surely, 2241920832 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 241920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248163588).

241920832 is an abundant number, since it is smaller than the sum of its proper divisors (254406344).

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

241920832 is an equidigital number, since it uses as much as digits as its factorization.

241920832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 241920832 is about 15553.8044220699. The cubic root of 241920832 is about 623.1000065327.

Adding to 241920832 its reverse (238029142), we get a palindrome (479949974).

The spelling of 241920832 in words is "two hundred forty-one million, nine hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 73 106 146 212 292 424 584 848 977 1168 1696 1954 2336 3392 3869 3908 4672 7738 7816 15476 15632 30952 31264 51781 61904 62528 71321 103562 123808 142642 207124 247616 285284 414248 570568 828496 1141136 1656992 2282272 3313984 3780013 4564544 7560026 15120052 30240104 60480208 120960416 241920832