Search a number
-
+
16448985 = 325779661
BaseRepresentation
bin111110101111…
…110111011001
31010221200202200
4332233313121
513202331420
61344320413
7256546140
oct76576731
933850680
1016448985
119315403
125613109
13353c037
142282757
15169db90
hexfafdd9

16448985 has 48 divisors (see below), whose sum is σ = 33047040. Its totient is φ = 7413120.

The previous prime is 16448981. The next prime is 16448987. The reversal of 16448985 is 58984461.

16448985 is a `hidden beast` number, since 164 + 489 + 8 + 5 = 666.

It is not a de Polignac number, because 16448985 - 22 = 16448981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 16448985.

It is not an unprimeable number, because it can be changed into a prime (16448981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24555 + ... + 25215.

It is an arithmetic number, because the mean of its divisors is an integer number (688480).

Almost surely, 216448985 is an apocalyptic number.

16448985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16448985 is an abundant number, since it is smaller than the sum of its proper divisors (16598055).

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

16448985 is a wasteful number, since it uses less digits than its factorization.

16448985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 16448985 is about 4055.7348286100. The cubic root of 16448985 is about 254.3195236876.

The spelling of 16448985 in words is "sixteen million, four hundred forty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 79 105 237 315 395 553 661 711 1185 1659 1983 2765 3305 3555 4627 4977 5949 8295 9915 13881 23135 24885 29745 41643 52219 69405 156657 208215 261095 365533 469971 783285 1096599 1827665 2349855 3289797 5482995 16448985