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18142848 = 273215749
BaseRepresentation
bin100010100110…
…1011010000000
31021010202022100
41011031122000
514121032343
61444510400
7310132413
oct105153200
937122270
1018142848
11a271a99
1260ab400
1339b3019
1425a3b7a
1518d59d3
hex114d680

18142848 has 48 divisors (see below), whose sum is σ = 52211250. Its totient is φ = 6047232.

The previous prime is 18142823. The next prime is 18142867. The reversal of 18142848 is 84824181.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18045504 + 97344 = 4248^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×181428482 = 658325867102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6723 + ... + 9026.

Almost surely, 218142848 is an apocalyptic number.

18142848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18142848 is an abundant number, since it is smaller than the sum of its proper divisors (34068402).

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

18142848 is a wasteful number, since it uses less digits than its factorization.

18142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769 (or 15754 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 18142848 is about 4259.4422170045. The cubic root of 18142848 is about 262.7655869814.

It can be divided in two parts, 181428 and 48, that added together give a square (181476 = 4262).

The spelling of 18142848 in words is "eighteen million, one hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 15749 31498 47247 62996 94494 125992 141741 188988 251984 283482 377976 503968 566964 755952 1007936 1133928 1511904 2015872 2267856 3023808 4535712 6047616 9071424 18142848