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18445056 = 28374773
BaseRepresentation
bin100011001011…
…1001100000000
31021201002212020
41012113030000
514210220211
61455201440
7312531450
oct106271400
937632766
1018445056
11a459053
126216280
133a8a746
142641d60
151945306
hex1197300

18445056 has 144 divisors (see below), whose sum is σ = 58082304. Its totient is φ = 5087232.

The previous prime is 18445027. The next prime is 18445079. The reversal of 18445056 is 65054481.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252636 + ... + 252708.

Almost surely, 218445056 is an apocalyptic number.

18445056 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 18445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29041152).

18445056 is an abundant number, since it is smaller than the sum of its proper divisors (39637248).

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

18445056 is an equidigital number, since it uses as much as digits as its factorization.

18445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 18445056 is about 4294.7707738598. The cubic root of 18445056 is about 264.2165349281.

The spelling of 18445056 in words is "eighteen million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 73 84 94 96 112 128 141 146 168 188 192 219 224 256 282 292 329 336 376 384 438 448 511 564 584 658 672 752 768 876 896 987 1022 1128 1168 1316 1344 1504 1533 1752 1792 1974 2044 2256 2336 2632 2688 3008 3066 3431 3504 3948 4088 4512 4672 5264 5376 6016 6132 6862 7008 7896 8176 9024 9344 10293 10528 12032 12264 13724 14016 15792 16352 18048 18688 20586 21056 24017 24528 27448 28032 31584 32704 36096 41172 42112 48034 49056 54896 56064 63168 65408 72051 82344 84224 96068 98112 109792 126336 130816 144102 164688 192136 196224 219584 252672 288204 329376 384272 392448 439168 576408 658752 768544 878336 1152816 1317504 1537088 2305632 2635008 3074176 4611264 6148352 9222528 18445056