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40786506 = 23237471303
BaseRepresentation
bin1001101110010…
…1101001001010
32211202011120100
42123211221022
540420132011
64014110230
71003452045
oct233455112
984664510
1040786506
1121028562
12117ab376
1385b0837
1455b9c5c
1538a9d56
hex26e5a4a

40786506 has 48 divisors (see below), whose sum is σ = 92761344. Its totient is φ = 12936672.

The previous prime is 40786481. The next prime is 40786517. The reversal of 40786506 is 60568704.

It is a happy number.

40786506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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, 30651 + ... + 31953.

It is an arithmetic number, because the mean of its divisors is an integer number (1932528).

Almost surely, 240786506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40786506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46380672).

40786506 is an abundant number, since it is smaller than the sum of its proper divisors (51974838).

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

40786506 is a wasteful number, since it uses less digits than its factorization.

40786506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 40786506 is about 6386.4313978935. The cubic root of 40786506 is about 344.2221669692. Note that the first 3 decimals are identical.

The spelling of 40786506 in words is "forty million, seven hundred eighty-six thousand, five hundred six".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 666 846 1303 1739 2606 3478 3909 5217 7818 10434 11727 15651 23454 31302 48211 61241 96422 122482 144633 183723 289266 367446 433899 551169 867798 1102338 2265917 4531834 6797751 13595502 20393253 40786506