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18242496 = 26361723
BaseRepresentation
bin100010110010…
…1101111000000
31021022211000000
41011211233000
514132224441
61451000000
7311026056
oct105455700
937284000
1018242496
11a32a948
126139000
133a1949c
1425cc1d6
1519052b6
hex1165bc0

18242496 has 196 divisors, whose sum is σ = 59966352. Its totient is φ = 5474304.

The previous prime is 18242437. The next prime is 18242503. The reversal of 18242496 is 69424281.

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 a self number, because there is not a number n which added to its sum of digits gives 18242496.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 793141 + ... + 793163.

Almost surely, 218242496 is an apocalyptic number.

18242496 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 18242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29983176).

18242496 is an abundant number, since it is smaller than the sum of its proper divisors (41723856).

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

18242496 is an equidigital number, since it uses as much as digits as its factorization.

18242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 18242496 is about 4271.1235055896. The cubic root of 18242496 is about 263.2457812166.

The spelling of 18242496 in words is "eighteen million, two hundred forty-two thousand, four hundred ninety-six".