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18000752 = 2471119769
BaseRepresentation
bin100010010101…
…0101101110000
31020212112101112
41010222231300
514102011002
61441452452
7306001220
oct104525560
936775345
1018000752
11a185260
126041128
133963443
142568080
1518a8852
hex112ab70

18000752 has 80 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 6635520.

The previous prime is 18000751. The next prime is 18000757. The reversal of 18000752 is 25700081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18000751) 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 15 ways as a sum of consecutive naturals, for example, 23024 + ... + 23792.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 218000752 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 18000752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915200).

18000752 is an abundant number, since it is smaller than the sum of its proper divisors (27829648).

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

18000752 is a wasteful number, since it uses less digits than its factorization.

18000752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 18000752 is about 4242.7293102436. The cubic root of 18000752 is about 262.0777889951.

The spelling of 18000752 in words is "eighteen million, seven hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 769 836 1064 1232 1463 1538 1672 2128 2926 3076 3344 5383 5852 6152 8459 10766 11704 12304 14611 16918 21532 23408 29222 33836 43064 58444 59213 67672 86128 102277 116888 118426 135344 160721 204554 233776 236852 321442 409108 473704 642884 818216 947408 1125047 1285768 1636432 2250094 2571536 4500188 9000376 18000752