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40821696 = 2632131541
BaseRepresentation
bin1001101110111…
…0001111000000
32211210221211200
42123232033000
540422243241
64014541200
71003656456
oct233561700
984727750
1040821696
1121051a43
1211807800
1385c3866
1455c89d6
1538b54b6
hex26ee3c0

40821696 has 84 divisors (see below), whose sum is σ = 118119144. Its totient is φ = 13478400.

The previous prime is 40821667. The next prime is 40821701. The reversal of 40821696 is 69612804.

40821696 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40821696.

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 11 ways as a sum of consecutive naturals, for example, 75186 + ... + 75726.

Almost surely, 240821696 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 40821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59059572).

40821696 is an abundant number, since it is smaller than the sum of its proper divisors (77297448).

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

40821696 is a wasteful number, since it uses less digits than its factorization.

40821696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40821696 is about 6389.1858636293. The cubic root of 40821696 is about 344.3211351266.

It can be divided in two parts, 4082 and 1696, that added together give a triangular number (5778 = T107).

The spelling of 40821696 in words is "forty million, eight hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 541 576 786 1048 1082 1179 1572 1623 2096 2164 2358 3144 3246 4192 4328 4716 4869 6288 6492 8384 8656 9432 9738 12576 12984 17312 18864 19476 25152 25968 34624 37728 38952 51936 70871 75456 77904 103872 141742 155808 212613 283484 311616 425226 566968 637839 850452 1133936 1275678 1700904 2267872 2551356 3401808 4535744 5102712 6803616 10205424 13607232 20410848 40821696