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40410414 = 235117559
BaseRepresentation
bin1001101000100…
…1110100101110
32211001001200000
42122021310232
540321113124
64002045130
71000324422
oct232116456
984031600
1040410414
11208a0a40
12116497a6
1384ab5b5
14551cb82
1538336c9
hex2689d2e

40410414 has 48 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 12243960.

The previous prime is 40410367. The next prime is 40410421. The reversal of 40410414 is 41401404.

40410414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1567 + ... + 9125.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 240410414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40410414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

40410414 is an abundant number, since it is smaller than the sum of its proper divisors (58655826).

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

40410414 is a wasteful number, since it uses less digits than its factorization.

40410414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40410414 is about 6356.9185931550. The cubic root of 40410414 is about 343.1608750450.

Adding to 40410414 its reverse (41401404), we get a palindrome (81811818).

The spelling of 40410414 in words is "forty million, four hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 7559 15118 22677 45354 68031 83149 136062 166298 204093 249447 408186 498894 612279 748341 1224558 1496682 1836837 2245023 3673674 4490046 6735069 13470138 20205207 40410414