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18885408 = 2531271549
BaseRepresentation
bin100100000001…
…0101100100000
31022112110220120
41020002230200
514313313113
61512440240
7316344333
oct110025440
938473816
1018885408
11a729983
1263a9080
133bb2cc9
14271861a
1519d0a23
hex1202b20

18885408 has 48 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 6241536.

The previous prime is 18885407. The next prime is 18885421. The reversal of 18885408 is 80458881.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18885408.

It is not an unprimeable number, because it can be changed into a prime (18885403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11418 + ... + 12966.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 218885408 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 18885408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

18885408 is an abundant number, since it is smaller than the sum of its proper divisors (31111392).

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

18885408 is a wasteful number, since it uses less digits than its factorization.

18885408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 18885408 is about 4345.7344603646. The cubic root of 18885408 is about 266.3026310467.

The spelling of 18885408 in words is "eighteen million, eight hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 1549 2032 3048 3098 4064 4647 6096 6196 9294 12192 12392 18588 24784 37176 49568 74352 148704 196723 393446 590169 786892 1180338 1573784 2360676 3147568 4721352 6295136 9442704 18885408