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18485376 = 273713232
BaseRepresentation
bin100011010000…
…1000010000000
31021210011011120
41012201002000
514213013001
61500112240
7313060140
oct106410200
937704146
1018485376
11a486378
126235680
133aa2bc0
142652920
151952236
hex11a1080

18485376 has 192 divisors, whose sum is σ = 63174720. Its totient is φ = 4663296.

The previous prime is 18485371. The next prime is 18485381. The reversal of 18485376 is 67358481.

It is an interprime number because it is at equal distance from previous prime (18485371) and next prime (18485381).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×184853762 = 683418251722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (161280) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18485371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803701 + ... + 803723.

It is an arithmetic number, because the mean of its divisors is an integer number (329035).

Almost surely, 218485376 is an apocalyptic number.

18485376 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 18485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31587360).

18485376 is an abundant number, since it is smaller than the sum of its proper divisors (44689344).

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

18485376 is a wasteful number, since it uses less digits than its factorization.

18485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 18485376 is about 4299.4622919616. The cubic root of 18485376 is about 264.4089163379.

The spelling of 18485376 in words is "eighteen million, four hundred eighty-five thousand, three hundred seventy-six".