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18993352 = 2371771281
BaseRepresentation
bin100100001110…
…1000011001000
31022201221222111
41020131003020
514330241402
61515032104
7320304130
oct110350310
938657874
1018993352
11a7a2a94
12643b634
133c20191
142745ac0
151a029d7
hex121d0c8

18993352 has 64 divisors (see below), whose sum is σ = 43856640. Its totient is φ = 7526400.

The previous prime is 18993343. The next prime is 18993367. The reversal of 18993352 is 25339981.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its 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, 67452 + ... + 67732.

It is an arithmetic number, because the mean of its divisors is an integer number (685260).

Almost surely, 218993352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18993352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21928320).

18993352 is an abundant number, since it is smaller than the sum of its proper divisors (24863288).

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

18993352 is a wasteful number, since it uses less digits than its factorization.

18993352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The square root of 18993352 is about 4358.1362989241. The cubic root of 18993352 is about 266.8090392519.

The spelling of 18993352 in words is "eighteen million, nine hundred ninety-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 71 119 136 142 238 281 284 476 497 562 568 952 994 1124 1207 1967 1988 2248 2414 3934 3976 4777 4828 7868 8449 9554 9656 15736 16898 19108 19951 33439 33796 38216 39902 66878 67592 79804 133756 139657 159608 267512 279314 339167 558628 678334 1117256 1356668 2374169 2713336 4748338 9496676 18993352