Search a number
-
+
289418040 = 23325803939
BaseRepresentation
bin10001010000000…
…010101100111000
3202011120221220200
4101100002230320
51043042334130
644415122200
710113004242
oct2120025470
9664527820
10289418040
1113940706a
1280b13360
1347c643a2
142a61b092
151a61d760
hex11402b38

289418040 has 48 divisors (see below), whose sum is σ = 940609800. Its totient is φ = 77178048.

The previous prime is 289418029. The next prime is 289418053. The reversal of 289418040 is 40814982.

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

It is a junction number, because it is equal to n+sod(n) for n = 289417986 and 289418004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401610 + ... + 402329.

Almost surely, 2289418040 is an apocalyptic number.

289418040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289418040 is an abundant number, since it is smaller than the sum of its proper divisors (651191760).

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

289418040 is a wasteful number, since it uses less digits than its factorization.

289418040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803956 (or 803949 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 289418040 is about 17012.2908510289. The cubic root of 289418040 is about 661.4675333671.

The spelling of 289418040 in words is "two hundred eighty-nine million, four hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 803939 1607878 2411817 3215756 4019695 4823634 6431512 7235451 8039390 9647268 12059085 14470902 16078780 19294536 24118170 28941804 32157560 36177255 48236340 57883608 72354510 96472680 144709020 289418040