Search a number
-
+
18157952 = 271271117
BaseRepresentation
bin100010101000…
…1000110000000
31021011112000202
41011101012000
514122023302
61445104332
7310224431
oct105210600
937145022
1018157952
11a28237a
1260b80a8
1339b9b67
1425a9488
1518da202
hex1151180

18157952 has 32 divisors (see below), whose sum is σ = 36491520. Its totient is φ = 8999424.

The previous prime is 18157949. The next prime is 18157961. The reversal of 18157952 is 25975181.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×181579522 = 659422441668608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15698 + ... + 16814.

It is an arithmetic number, because the mean of its divisors is an integer number (1140360).

Almost surely, 218157952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18245760).

18157952 is an abundant number, since it is smaller than the sum of its proper divisors (18333568).

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

18157952 is a wasteful number, since it uses less digits than its factorization.

18157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its digits is 25200, while the sum is 38.

The square root of 18157952 is about 4261.2148502510. The cubic root of 18157952 is about 262.8384845879.

The spelling of 18157952 in words is "eighteen million, one hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 1117 2032 2234 4064 4468 8128 8936 16256 17872 35744 71488 141859 142976 283718 567436 1134872 2269744 4539488 9078976 18157952