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18616428 = 223217191601
BaseRepresentation
bin100011100000…
…1000001101100
31022000210221100
41013001001230
514231211203
61503003100
7314144205
oct107010154
938023840
1018616428
11a565886
126299490
133b1a74c
1426885ac
15197aea3
hex11c106c

18616428 has 72 divisors (see below), whose sum is σ = 52481520. Its totient is φ = 5529600.

The previous prime is 18616417. The next prime is 18616441. The reversal of 18616428 is 82461681.

18616428 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 642 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 18616392 and 18616401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10828 + ... + 12428.

It is an arithmetic number, because the mean of its divisors is an integer number (728910).

Almost surely, 218616428 is an apocalyptic number.

18616428 is a gapful number since it is divisible by the number (18) 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 18616428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240760).

18616428 is an abundant number, since it is smaller than the sum of its proper divisors (33865092).

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

18616428 is a wasteful number, since it uses less digits than its factorization.

18616428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1642 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18616428 is about 4314.6758858575. The cubic root of 18616428 is about 265.0322875101.

It can be divided in two parts, 18616 and 428, that added together give a square (19044 = 1382).

The spelling of 18616428 in words is "eighteen million, six hundred sixteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1601 1938 2907 3202 3876 4803 5814 6404 9606 11628 14409 19212 27217 28818 30419 54434 57636 60838 81651 91257 108868 121676 163302 182514 244953 273771 326604 365028 489906 517123 547542 979812 1034246 1095084 1551369 2068492 3102738 4654107 6205476 9308214 18616428