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18029024 = 2513192281
BaseRepresentation
bin100010011000…
…1100111100000
31020220222011122
41010301213200
514103412044
61442231412
7306146516
oct104614740
936828148
1018029024
11a1a4522
126055568
133973280
1425744b6
1518b1dee
hex11319e0

18029024 has 48 divisors (see below), whose sum is σ = 40254480. Its totient is φ = 7879680.

The previous prime is 18029023. The next prime is 18029041. The reversal of 18029024 is 42092081.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 18028984 and 18029002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18029023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6764 + ... + 9044.

It is an arithmetic number, because the mean of its divisors is an integer number (838635).

Almost surely, 218029024 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 18029024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127240).

18029024 is an abundant number, since it is smaller than the sum of its proper divisors (22225456).

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

18029024 is a wasteful number, since it uses less digits than its factorization.

18029024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 18029024 is about 4246.0598205866. The cubic root of 18029024 is about 262.2149237757.

The spelling of 18029024 in words is "eighteen million, twenty-nine thousand, twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 2281 3952 4562 7904 9124 18248 29653 36496 43339 59306 72992 86678 118612 173356 237224 346712 474448 563407 693424 948896 1126814 1386848 2253628 4507256 9014512 18029024