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18681856 = 2124561
BaseRepresentation
bin100011101000…
…1000000000000
31022011010200121
41013101000000
514240304411
61504230024
7314536024
oct107210000
938133617
1018681856
11a5aaa56
12630b314
133b4146b
1426a4384
151990571
hex11d1000

18681856 has 26 divisors (see below), whose sum is σ = 37367342. Its totient is φ = 9338880.

The previous prime is 18681853. The next prime is 18681857. The reversal of 18681856 is 65818681.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14745600 + 3936256 = 3840^2 + 1984^2 .

It is not an unprimeable number, because it can be changed into a prime (18681851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1816 + ... + 6376.

Almost surely, 218681856 is an apocalyptic number.

18681856 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 18681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683671).

18681856 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

18681856 is an frugal number, since it uses more digits than its factorization.

18681856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4563 counting only the distinct ones).

The product of its digits is 92160, while the sum is 43.

The square root of 18681856 is about 4322.2512652552. The cubic root of 18681856 is about 265.3424124791.

The spelling of 18681856 in words is "eighteen million, six hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4561 9122 18244 36488 72976 145952 291904 583808 1167616 2335232 4670464 9340928 18681856