Search a number
-
+
18470448 = 2432294423
BaseRepresentation
bin100011001110…
…1011000110000
31021202101200200
41012131120300
514212023243
61455515200
7312665463
oct106353060
937671620
1018470448
11a476137
126228b00
133a99179
14264b2da
15194cad3
hex119d630

18470448 has 60 divisors (see below), whose sum is σ = 53486160. Its totient is φ = 5943168.

The previous prime is 18470423. The next prime is 18470467. The reversal of 18470448 is 84407481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1965 + ... + 6387.

It is an arithmetic number, because the mean of its divisors is an integer number (891436).

Almost surely, 218470448 is an apocalyptic number.

18470448 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 18470448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743080).

18470448 is an abundant number, since it is smaller than the sum of its proper divisors (35015712).

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

18470448 is a wasteful number, since it uses less digits than its factorization.

18470448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 18470448 is about 4297.7259102926. The cubic root of 18470448 is about 264.3377220547.

The spelling of 18470448 in words is "eighteen million, four hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 4423 8846 13269 17692 26538 35384 39807 53076 70768 79614 106152 128267 159228 212304 256534 318456 384801 513068 636912 769602 1026136 1154403 1539204 2052272 2308806 3078408 4617612 6156816 9235224 18470448