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40682432 = 267711279
BaseRepresentation
bin1001101100110…
…0001111000000
32211112212210202
42123030033000
540403314212
64011544332
71002536450
oct233141700
984485722
1040682432
1120a6734a
121175b0a8
13857535b
14558dd60
1538890c2
hex26cc3c0

40682432 has 56 divisors (see below), whose sum is σ = 93634560. Its totient is φ = 17176320.

The previous prime is 40682431. The next prime is 40682437. The reversal of 40682432 is 23428604.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 40682395 and 40682404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40682431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31169 + ... + 32447.

Almost surely, 240682432 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 40682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46817280).

40682432 is an abundant number, since it is smaller than the sum of its proper divisors (52952128).

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

40682432 is a wasteful number, since it uses less digits than its factorization.

40682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 40682432 is about 6378.2781375541. The cubic root of 40682432 is about 343.9291362955.

It can be divided in two parts, 40682 and 432, that added together give a palindrome (41114).

The spelling of 40682432 in words is "forty million, six hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1279 1988 2272 2558 3976 4544 5116 7952 8953 10232 15904 17906 20464 31808 35812 40928 71624 81856 90809 143248 181618 286496 363236 572992 635663 726472 1271326 1452944 2542652 2905888 5085304 5811776 10170608 20341216 40682432