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18254964 = 22371373229
BaseRepresentation
bin100010110100…
…0110001110100
31021100110002210
41011220301310
514133124324
61451133420
7311110320
oct105506164
937313083
1018254964
11a339252
126144270
133a22070
1425d2980
151908d29
hex1168c74

18254964 has 96 divisors (see below), whose sum is σ = 53374720. Its totient is φ = 4727808.

The previous prime is 18254933. The next prime is 18254969. The reversal of 18254964 is 46945281.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18254969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79602 + ... + 79830.

Almost surely, 218254964 is an apocalyptic number.

18254964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18254964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26687360).

18254964 is an abundant number, since it is smaller than the sum of its proper divisors (35119756).

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

18254964 is a wasteful number, since it uses less digits than its factorization.

18254964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 18254964 is about 4272.5828254113. The cubic root of 18254964 is about 263.3057401343.

The spelling of 18254964 in words is "eighteen million, two hundred fifty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 73 78 84 91 146 156 182 219 229 273 292 364 438 458 511 546 687 876 916 949 1022 1092 1374 1533 1603 1898 2044 2748 2847 2977 3066 3206 3796 4809 5694 5954 6132 6412 6643 8931 9618 11388 11908 13286 16717 17862 19236 19929 20839 26572 33434 35724 39858 41678 50151 62517 66868 79716 83356 100302 117019 125034 200604 217321 234038 250068 351057 434642 468076 651963 702114 869284 1303926 1404228 1521247 2607852 3042494 4563741 6084988 9127482 18254964