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40513104 = 2432353797
BaseRepresentation
bin1001101010001…
…0111001010000
32211020021112100
42122202321100
540332404404
64004200400
71001233002
oct232427120
984207470
1040513104
1120961105
1211699100
138516268
145548372
153853d39
hex26a2e50

40513104 has 60 divisors (see below), whose sum is σ = 113844276. Its totient is φ = 13449216.

The previous prime is 40513061. The next prime is 40513133. The reversal of 40513104 is 40131504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 22467600 = 4248^2 + 4740^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 50434 + ... + 51230.

Almost surely, 240513104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56922138).

40513104 is an abundant number, since it is smaller than the sum of its proper divisors (73331172).

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

40513104 is a wasteful number, since it uses less digits than its factorization.

40513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40513104 is about 6364.9904948869. The cubic root of 40513104 is about 343.4513066374.

Adding to 40513104 its reverse (40131504), we get a palindrome (80644608).

The spelling of 40513104 in words is "forty million, five hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 353 706 797 1059 1412 1594 2118 2391 2824 3177 3188 4236 4782 5648 6354 6376 7173 8472 9564 12708 12752 14346 16944 19128 25416 28692 38256 50832 57384 114768 281341 562682 844023 1125364 1688046 2250728 2532069 3376092 4501456 5064138 6752184 10128276 13504368 20256552 40513104