[go: up one dir, main page]

Search a number
-
+
18993828 = 22371747283
BaseRepresentation
bin100100001110…
…1001010100100
31022201222122010
41020131022210
514330300303
61515034220
7320305410
oct110351244
938658563
1018993828
11a7a3387
12643b970
133c20469
142745d40
151a02c03
hex121d2a4

18993828 has 96 divisors (see below), whose sum is σ = 54964224. Its totient is φ = 4981248.

The previous prime is 18993827. The next prime is 18993833. The reversal of 18993828 is 82839981.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18993827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66975 + ... + 67257.

It is an arithmetic number, because the mean of its divisors is an integer number (572544).

Almost surely, 218993828 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 18993828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27482112).

18993828 is an abundant number, since it is smaller than the sum of its proper divisors (35970396).

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

18993828 is a wasteful number, since it uses less digits than its factorization.

18993828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 18993828 is about 4358.1909090814. The cubic root of 18993828 is about 266.8112681027.

The spelling of 18993828 in words is "eighteen million, nine hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 47 51 68 84 94 102 119 141 188 204 238 282 283 329 357 476 564 566 658 714 799 849 987 1132 1316 1428 1598 1698 1974 1981 2397 3196 3396 3948 3962 4794 4811 5593 5943 7924 9588 9622 11186 11886 13301 14433 16779 19244 22372 23772 26602 28866 33558 33677 39903 53204 57732 67116 67354 79806 93107 101031 134708 159612 186214 202062 226117 279321 372428 404124 452234 558642 678351 904468 1117284 1356702 1582819 2713404 3165638 4748457 6331276 9496914 18993828