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40133982 = 2373532707
BaseRepresentation
bin1001100100011…
…0010101011110
32210112000110210
42121012111132
540233241412
63552113250
7665063460
oct231062536
983460423
1040133982
1120722289
1211535826
138412825
14548a130
1537cb83c
hex264655e

40133982 has 32 divisors (see below), whose sum is σ = 92028672. Its totient is φ = 11430144.

The previous prime is 40133981. The next prime is 40134001. The reversal of 40133982 is 28933104.

40133982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401339822 = 3221473022352648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133981) 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 15 ways as a sum of consecutive naturals, for example, 13473 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (2875896).

Almost surely, 240133982 is an apocalyptic number.

40133982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40133982 is an abundant number, since it is smaller than the sum of its proper divisors (51894690).

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

40133982 is a wasteful number, since it uses less digits than its factorization.

40133982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40133982 is about 6335.1386725154. The cubic root of 40133982 is about 342.3766071213.

The spelling of 40133982 in words is "forty million, one hundred thirty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 353 706 1059 2118 2471 2707 4942 5414 7413 8121 14826 16242 18949 37898 56847 113694 955571 1911142 2866713 5733426 6688997 13377994 20066991 40133982