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249426 = 23331149
BaseRepresentation
bin111100111001010010
3110200011000
4330321102
530440201
65202430
72056122
oct747122
9420130
10249426
11160441
12100416
13896b8
1466c82
154dd86
hex3ce52

249426 has 32 divisors (see below), whose sum is σ = 576000. Its totient is φ = 79920.

The previous prime is 249421. The next prime is 249427. The reversal of 249426 is 624942.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 249426.

It is not an unprimeable number, because it can be changed into a prime (249421) by changing a digit.

249426 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600 + ... + 1748.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2249426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

249426 is an abundant number, since it is smaller than the sum of its proper divisors (326574).

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

249426 is a wasteful number, since it uses less digits than its factorization.

249426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 249426 is about 499.4256701452. The cubic root of 249426 is about 62.9478025698.

The spelling of 249426 in words is "two hundred forty-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 149 186 279 298 447 558 837 894 1341 1674 2682 4023 4619 8046 9238 13857 27714 41571 83142 124713 249426