Search a number
-
+
40833040 = 2451274019
BaseRepresentation
bin1001101111000…
…1000000010000
32211211112101211
42123301000100
540423124130
64015105504
71004034523
oct233610020
984745354
1040833040
112105a516
1211812294
1385c8a81
1455ccbba
1538b8a2a
hex26f1010

40833040 has 40 divisors (see below), whose sum is σ = 95708160. Its totient is φ = 16200576.

The previous prime is 40832999. The next prime is 40833043. The reversal of 40833040 is 4033804.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (40833043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8151 + ... + 12169.

It is an arithmetic number, because the mean of its divisors is an integer number (2392704).

Almost surely, 240833040 is an apocalyptic number.

40833040 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 40833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47854080).

40833040 is an abundant number, since it is smaller than the sum of its proper divisors (54875120).

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

40833040 is a wasteful number, since it uses less digits than its factorization.

40833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 40833040 is about 6390.0735520024. The cubic root of 40833040 is about 344.3530268050.

Adding to 40833040 its reverse (4033804), we get a palindrome (44866844).

The spelling of 40833040 in words is "forty million, eight hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 4019 5080 8038 10160 16076 20095 32152 40190 64304 80380 160760 321520 510413 1020826 2041652 2552065 4083304 5104130 8166608 10208260 20416520 40833040