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18628656 = 243974001
BaseRepresentation
bin100011100010…
…0000000110000
31022001102201020
41013010000300
514232104111
61503135440
7314224644
oct107040060
938042636
1018628656
11a573a92
1262a4580
133b23197
14268cc24
15197e906
hex11c4030

18628656 has 40 divisors (see below), whose sum is σ = 48632304. Its totient is φ = 6144000.

The previous prime is 18628633. The next prime is 18628657. The reversal of 18628656 is 65682681.

It is not an unprimeable number, because it can be changed into a prime (18628657) 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, 2656 + ... + 6656.

Almost surely, 218628656 is an apocalyptic number.

18628656 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 18628656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24316152).

18628656 is an abundant number, since it is smaller than the sum of its proper divisors (30003648).

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

18628656 is a wasteful number, since it uses less digits than its factorization.

18628656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4103 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 18628656 is about 4316.0926774109. The cubic root of 18628656 is about 265.0903026765.

The spelling of 18628656 in words is "eighteen million, six hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4001 4656 8002 12003 16004 24006 32008 48012 64016 96024 192048 388097 776194 1164291 1552388 2328582 3104776 4657164 6209552 9314328 18628656