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18874440 = 233251337109
BaseRepresentation
bin100100000000…
…0000001001000
31022111220212100
41020000001020
514312440230
61512313400
7316300344
oct110000110
938456770
1018874440
11a721712
1263a2860
133bab010
142714624
1519cc660
hex1200048

18874440 has 192 divisors, whose sum is σ = 68468400. Its totient is φ = 4478976.

The previous prime is 18874439. The next prime is 18874459. The reversal of 18874440 is 4447881.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10614564 + 8259876 = 3258^2 + 2874^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18874395 and 18874404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173106 + ... + 173214.

Almost surely, 218874440 is an apocalyptic number.

18874440 is a gapful number since it is divisible by the number (10) 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 18874440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34234200).

18874440 is an abundant number, since it is smaller than the sum of its proper divisors (49593960).

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

18874440 is a wasteful number, since it uses less digits than its factorization.

18874440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 18874440 is about 4344.4723500098. The cubic root of 18874440 is about 266.2510679055.

It can be divided in two parts, 1 and 8874440, that added together give a square (8874441 = 29792).

The spelling of 18874440 in words is "eighteen million, eight hundred seventy-four thousand, four hundred forty".