Search a number
-
+
253866942 = 232721915149
BaseRepresentation
bin11110010000110…
…11001110111110
3122200200202222100
433020123032332
51004442220232
641105125530
76201555600
oct1710331676
9580622870
10253866942
11120334a9a
12710298a6
1340797834
1425a05170
1517449c7c
hexf21b3be

253866942 has 72 divisors (see below), whose sum is σ = 673569000. Its totient is φ = 68711328.

The previous prime is 253866919. The next prime is 253866973. The reversal of 253866942 is 249668352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9184 + ... + 24332.

It is an arithmetic number, because the mean of its divisors is an integer number (9355125).

Almost surely, 2253866942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253866942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336784500).

253866942 is an abundant number, since it is smaller than the sum of its proper divisors (419702058).

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

253866942 is a wasteful number, since it uses less digits than its factorization.

253866942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190 (or 15180 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 253866942 is about 15933.2025029496. The cubic root of 253866942 is about 633.1919485567.

The spelling of 253866942 in words is "two hundred fifty-three million, eight hundred sixty-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 15149 16758 30298 45447 90894 106043 136341 212086 272682 287831 318129 575662 636258 742301 863493 954387 1484602 1726986 1908774 2014817 2226903 2590479 4029634 4453806 5180958 6044451 6680709 12088902 13361418 14103719 18133353 28207438 36266706 42311157 84622314 126933471 253866942