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249841242 = 23273753591
BaseRepresentation
bin11101110010001…
…00011001011010
3122102010020202100
432321010121122
51002424404432
640442544230
76122421060
oct1671043132
9572106670
10249841242
11119035472
126b808076
133c9b8371
1425278030
1516e0207c
hexee4465a

249841242 has 48 divisors (see below), whose sum is σ = 635386752. Its totient is φ = 69452640.

The previous prime is 249841211. The next prime is 249841243. The reversal of 249841242 is 242148942.

249841242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 249841197 and 249841206.

It is not an unprimeable number, because it can be changed into a prime (249841243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22134 + ... + 31457.

It is an arithmetic number, because the mean of its divisors is an integer number (13237224).

Almost surely, 2249841242 is an apocalyptic number.

249841242 is an abundant number, since it is smaller than the sum of its proper divisors (385545510).

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

249841242 is a wasteful number, since it uses less digits than its factorization.

249841242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53643 (or 53640 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 249841242 is about 15806.3671347973. The cubic root of 249841242 is about 629.8271483466.

It can be divided in two parts, 24 and 9841242, that added together give a triangular number (9841266 = T4436).

The spelling of 249841242 in words is "two hundred forty-nine million, eight hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 53591 107182 160773 321546 375137 482319 750274 964638 1125411 1982867 2250822 3376233 3965734 5948601 6752466 11897202 13880069 17845803 27760138 35691606 41640207 83280414 124920621 249841242