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40132404 = 223213292957
BaseRepresentation
bin1001100100010…
…1111100110100
32210111221022100
42121011330310
540233214104
63552102100
7665056044
oct231057464
983457270
1040132404
1120721084
1211534930
138411bb0
145489724
1537cb139
hex2645f34

40132404 has 72 divisors (see below), whose sum is σ = 113054760. Its totient is φ = 11918592.

The previous prime is 40132403. The next prime is 40132429. The reversal of 40132404 is 40423104.

40132404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 40068900 = 252^2 + 6330^2 .

It is a super-2 number, since 2×401324042 = 3221219701638432, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132403) by changing a digit.

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, 12094 + ... + 15050.

It is an arithmetic number, because the mean of its divisors is an integer number (1570205).

Almost surely, 240132404 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 40132404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56527380).

40132404 is an abundant number, since it is smaller than the sum of its proper divisors (72922356).

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

40132404 is a wasteful number, since it uses less digits than its factorization.

40132404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40132404 is about 6335.0141278453. The cubic root of 40132404 is about 342.3721198403.

Adding to 40132404 its reverse (40423104), we get a palindrome (80555508).

The spelling of 40132404 in words is "forty million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 2957 3393 4524 5914 6786 8871 11828 13572 17742 26613 35484 38441 53226 76882 85753 106452 115323 153764 171506 230646 257259 343012 345969 461292 514518 691938 771777 1029036 1114789 1383876 1543554 2229578 3087108 3344367 4459156 6688734 10033101 13377468 20066202 40132404