Search a number
-
+
18984992 = 251347971
BaseRepresentation
bin100100001101…
…1000000100000
31022201112111212
41020123000200
514330004432
61514525252
7320240555
oct110330040
938645455
1018984992
11a797784
126436828
133c19430
142742a2c
151a002b2
hex121b020

18984992 has 48 divisors (see below), whose sum is σ = 41150592. Its totient is φ = 8567040.

The previous prime is 18984991. The next prime is 18985003. The reversal of 18984992 is 29948981.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18984992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18984991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19067 + ... + 20037.

It is an arithmetic number, because the mean of its divisors is an integer number (857304).

Almost surely, 218984992 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 18984992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20575296).

18984992 is an abundant number, since it is smaller than the sum of its proper divisors (22165600).

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

18984992 is a wasteful number, since it uses less digits than its factorization.

18984992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its digits is 373248, while the sum is 50.

The square root of 18984992 is about 4357.1770677814. The cubic root of 18984992 is about 266.7698878178.

The spelling of 18984992 in words is "eighteen million, nine hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 971 1222 1504 1942 2444 3884 4888 7768 9776 12623 15536 19552 25246 31072 45637 50492 91274 100984 182548 201968 365096 403936 593281 730192 1186562 1460384 2373124 4746248 9492496 18984992