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18137472 = 273149317
BaseRepresentation
bin100010100110…
…0000110000000
31021010110221020
41011030012000
514120344342
61444425440
7310110633
oct105140600
937113836
1018137472
11a268a51
1260a8280
1339b0742
1425a1c1a
1518d40ec
hex114c180

18137472 has 64 divisors (see below), whose sum is σ = 48654000. Its totient is φ = 5986304.

The previous prime is 18137461. The next prime is 18137473. The reversal of 18137472 is 27473181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18137473) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57058 + ... + 57374.

Almost surely, 218137472 is an apocalyptic number.

18137472 is a gapful number since it is divisible by the number (12) 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 18137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24327000).

18137472 is an abundant number, since it is smaller than the sum of its proper divisors (30516528).

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

18137472 is a wasteful number, since it uses less digits than its factorization.

18137472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 18137472 is about 4258.8111017043. The cubic root of 18137472 is about 262.7396306129.

The spelling of 18137472 in words is "eighteen million, one hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 317 384 447 596 634 894 951 1192 1268 1788 1902 2384 2536 3576 3804 4768 5072 7152 7608 9536 10144 14304 15216 19072 20288 28608 30432 40576 47233 57216 60864 94466 121728 141699 188932 283398 377864 566796 755728 1133592 1511456 2267184 3022912 4534368 6045824 9068736 18137472