Search a number
-
+
40808000 = 26535101
BaseRepresentation
bin1001101110101…
…0111001000000
32211210021001102
42123222321000
540421324000
64014353532
71003601522
oct233527100
984707042
1040808000
1121042722
12117bb8a8
1385ba55c
1455c3a12
1538b13d5
hex26eae40

40808000 has 56 divisors (see below), whose sum is σ = 101080824. Its totient is φ = 16320000.

The previous prime is 40807979. The next prime is 40808063. The reversal of 40808000 is 80804.

It can be written as a sum of positive squares in 4 ways, for example, as 12845056 + 27962944 = 3584^2 + 5288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5450 + ... + 10550.

Almost surely, 240808000 is an apocalyptic number.

40808000 is a gapful number since it is divisible by the number (40) 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 40808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50540412).

40808000 is an abundant number, since it is smaller than the sum of its proper divisors (60272824).

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

40808000 is an equidigital number, since it uses as much as digits as its factorization.

40808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 40808000 is about 6388.1139626653. The cubic root of 40808000 is about 344.2826233365.

Adding to 40808000 its reverse (80804), we get a palindrome (40888804).

The spelling of 40808000 in words is "forty million, eight hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 5101 8000 10202 20404 25505 40808 51010 81616 102020 127525 163232 204040 255050 326464 408080 510100 637625 816160 1020200 1275250 1632320 2040400 2550500 4080800 5101000 8161600 10202000 20404000 40808000