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18679272 = 233412463
BaseRepresentation
bin100011101000…
…0010111101000
31022011000010220
41013100113220
514240214042
61504210040
7314525343
oct107202750
938130126
1018679272
11a5a9017
126309920
133b40231
1426a345a
15198e8ec
hex11d05e8

18679272 has 48 divisors (see below), whose sum is σ = 47968320. Its totient is φ = 6061440.

The previous prime is 18679249. The next prime is 18679273. The reversal of 18679272 is 27297681.

It is not an unprimeable number, because it can be changed into a prime (18679273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40113 + ... + 40575.

It is an arithmetic number, because the mean of its divisors is an integer number (999340).

Almost surely, 218679272 is an apocalyptic number.

18679272 is a gapful number since it is divisible by the number (12) 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 18679272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23984160).

18679272 is an abundant number, since it is smaller than the sum of its proper divisors (29289048).

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

18679272 is a wasteful number, since it uses less digits than its factorization.

18679272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 509 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 18679272 is about 4321.9523366183. The cubic root of 18679272 is about 265.3301782128.

The spelling of 18679272 in words is "eighteen million, six hundred seventy-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 463 492 926 984 1389 1681 1852 2778 3362 3704 5043 5556 6724 10086 11112 13448 18983 20172 37966 40344 56949 75932 113898 151864 227796 455592 778303 1556606 2334909 3113212 4669818 6226424 9339636 18679272