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40537692 = 22331322221
BaseRepresentation
bin1001101010100…
…0111001011100
32211021112021000
42122220321130
540334201232
64004510300
71001364456
oct232507134
984245230
1040537692
1120978628
12116ab390
138524500
1455532d6
15385b27c
hex26a8e5c

40537692 has 72 divisors (see below), whose sum is σ = 113855280. Its totient is φ = 12467520.

The previous prime is 40537619. The next prime is 40537711. The reversal of 40537692 is 29673504.

40537692 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 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, 17142 + ... + 19362.

Almost surely, 240537692 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 40537692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56927640).

40537692 is an abundant number, since it is smaller than the sum of its proper divisors (73317588).

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

40537692 is a wasteful number, since it uses less digits than its factorization.

40537692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 40537692 is about 6366.9217051885. The cubic root of 40537692 is about 343.5207744725.

The spelling of 40537692 in words is "forty million, five hundred thirty-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2221 3042 4442 4563 6084 6663 8884 9126 13326 18252 19989 26652 28873 39978 57746 59967 79956 86619 115492 119934 173238 239868 259857 346476 375349 519714 750698 779571 1039428 1126047 1501396 1559142 2252094 3118284 3378141 4504188 6756282 10134423 13512564 20268846 40537692