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241933825 = 5272414817
BaseRepresentation
bin11100110101110…
…01111000000001
3121212020111211001
432122321320001
5443413340300
640001252001
75665255300
oct1632717001
9555214731
10241933825
11114624511
1269034001
133b17a113
14241ba437
151638e16a
hexe6b9e01

241933825 has 36 divisors (see below), whose sum is σ = 357563052. Its totient is φ = 161817600.

The previous prime is 241933819. The next prime is 241933841. The reversal of 241933825 is 528339142.

241933825 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 6 ways, for example, as 91699776 + 150234049 = 9576^2 + 12257^2 .

It is not a de Polignac number, because 241933825 - 25 = 241933793 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47817 + ... + 52633.

It is an arithmetic number, because the mean of its divisors is an integer number (9932307).

Almost surely, 2241933825 is an apocalyptic number.

241933825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

241933825 is a deficient number, since it is larger than the sum of its proper divisors (115629227).

241933825 is a wasteful number, since it uses less digits than its factorization.

241933825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4870 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 241933825 is about 15554.2220956241. Note that the first 3 decimals coincide. The cubic root of 241933825 is about 623.1111614125. Note that the first 4 decimals are identical.

The spelling of 241933825 in words is "two hundred forty-one million, nine hundred thirty-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 175 205 245 287 1025 1225 1435 2009 4817 7175 10045 24085 33719 50225 120425 168595 197497 236033 842975 987485 1180165 1382479 4937425 5900825 6912395 9677353 34561975 48386765 241933825