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249435942 = 23733717623
BaseRepresentation
bin11101101111000…
…01011100100110
3122101100122210020
432313201130212
51002323422232
640430140010
76116112330
oct1667413446
9571318706
10249435942
11118888a08
126b651606
133c8a5a42
14251b0450
1516d71e2c
hexede1726

249435942 has 32 divisors (see below), whose sum is σ = 571863552. Its totient is φ = 71051904.

The previous prime is 249435937. The next prime is 249435947. The reversal of 249435942 is 249534942.

249435942 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249435937) and next prime (249435947).

It is a super-2 number, since 2×2494359422 = 124436578322854728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 249435894 and 249435903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249435947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5343 + ... + 22965.

It is an arithmetic number, because the mean of its divisors is an integer number (17870736).

Almost surely, 2249435942 is an apocalyptic number.

249435942 is an abundant number, since it is smaller than the sum of its proper divisors (322427610).

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

249435942 is a wasteful number, since it uses less digits than its factorization.

249435942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17972.

The product of its digits is 311040, while the sum is 42.

The square root of 249435942 is about 15793.5411482036. The cubic root of 249435942 is about 629.4863891500.

The spelling of 249435942 in words is "two hundred forty-nine million, four hundred thirty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 337 674 1011 2022 2359 4718 7077 14154 17623 35246 52869 105738 123361 246722 370083 740166 5938951 11877902 17816853 35633706 41572657 83145314 124717971 249435942