Search a number
-
+
40615104 = 2631991063
BaseRepresentation
bin1001101011101…
…1110011000000
32211102110110010
42122323303000
540344140404
64010304520
71002136245
oct232736300
984373403
1040615104
1120a20802
1211728140
13855080a
1455735cc
153874189
hex26bbcc0

40615104 has 56 divisors (see below), whose sum is σ = 108102400. Its totient is φ = 13457664.

The previous prime is 40615087. The next prime is 40615111. The reversal of 40615104 is 40151604.

40615104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37677 + ... + 38739.

It is an arithmetic number, because the mean of its divisors is an integer number (1930400).

Almost surely, 240615104 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 40615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54051200).

40615104 is an abundant number, since it is smaller than the sum of its proper divisors (67487296).

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

40615104 is a wasteful number, since it uses less digits than its factorization.

40615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 40615104 is about 6372.9980386000. The cubic root of 40615104 is about 343.7393013089.

Adding to 40615104 its reverse (40151604), we get a palindrome (80766708).

The spelling of 40615104 in words is "forty million, six hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1063 1194 1592 2126 2388 3184 3189 4252 4776 6368 6378 8504 9552 12736 12756 17008 19104 25512 34016 38208 51024 68032 102048 204096 211537 423074 634611 846148 1269222 1692296 2538444 3384592 5076888 6769184 10153776 13538368 20307552 40615104