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249630 = 23553157
BaseRepresentation
bin111100111100011110
3110200102120
4330330132
530442010
65203410
72056533
oct747436
9420376
10249630
11160607
12100566
1389814
1466d8a
154de70
hex3cf1e

249630 has 32 divisors (see below), whose sum is σ = 614304. Its totient is φ = 64896.

The previous prime is 249607. The next prime is 249647. The reversal of 249630 is 36942.

It is a self number, because there is not a number n which added to its sum of digits gives 249630.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249630.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512 + ... + 1668.

It is an arithmetic number, because the mean of its divisors is an integer number (19197).

2249630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307152).

249630 is an abundant number, since it is smaller than the sum of its proper divisors (364674).

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

249630 is a wasteful number, since it uses less digits than its factorization.

249630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 249630 is about 499.6298629986. The cubic root of 249630 is about 62.9649590977.

The spelling of 249630 in words is "two hundred forty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 157 159 265 314 318 471 530 785 795 942 1570 1590 2355 4710 8321 16642 24963 41605 49926 83210 124815 249630