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18142544 = 247273317
BaseRepresentation
bin100010100110…
…1010101010000
31021010201220002
41011031111100
514121030134
61444505132
7310131500
oct105152520
937121802
1018142544
11a271842
1260ab1a8
1339b2b44
1425a3a00
1518d587e
hex114d550

18142544 has 60 divisors (see below), whose sum is σ = 41581044. Its totient is φ = 7644672.

The previous prime is 18142513. The next prime is 18142567. The reversal of 18142544 is 44524181.

It can be written as a sum of positive squares in 2 ways, for example, as 4892944 + 13249600 = 2212^2 + 3640^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57074 + ... + 57390.

Almost surely, 218142544 is an apocalyptic number.

18142544 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 18142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790522).

18142544 is an abundant number, since it is smaller than the sum of its proper divisors (23438500).

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

18142544 is a wasteful number, since it uses less digits than its factorization.

18142544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 18142544 is about 4259.4065314313. The cubic root of 18142544 is about 262.7641193474.

The spelling of 18142544 in words is "eighteen million, one hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 317 392 511 584 634 784 1022 1168 1268 2044 2219 2536 3577 4088 4438 5072 7154 8176 8876 14308 15533 17752 23141 28616 31066 35504 46282 57232 62132 92564 124264 161987 185128 248528 323974 370256 647948 1133909 1295896 2267818 2591792 4535636 9071272 18142544