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18001456 = 2411234447
BaseRepresentation
bin100010010101…
…0111000110000
31020212120100121
41010222320300
514102021311
61441500024
7306003244
oct104527060
936776317
1018001456
11a185840
126041614
133963865
142568424
1518a8b71
hex112ae30

18001456 has 40 divisors (see below), whose sum is σ = 39711744. Its totient is φ = 7824960.

The previous prime is 18001447. The next prime is 18001457. The reversal of 18001456 is 65410081.

It is a self number, because there is not a number n which added to its sum of digits gives 18001456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18001457) 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, 1825 + ... + 6271.

Almost surely, 218001456 is an apocalyptic number.

18001456 is a gapful number since it is divisible by the number (16) 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 18001456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19855872).

18001456 is an abundant number, since it is smaller than the sum of its proper divisors (21710288).

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

18001456 is a wasteful number, since it uses less digits than its factorization.

18001456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 18001456 is about 4242.8122748950. The cubic root of 18001456 is about 262.0812055257.

The spelling of 18001456 in words is "eighteen million, one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 4447 8894 17788 35576 48917 71152 97834 102281 195668 204562 391336 409124 782672 818248 1125091 1636496 2250182 4500364 9000728 18001456