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40829973 = 3411372423
BaseRepresentation
bin1001101111000…
…0010000010101
32211211101012020
42123300100111
540423024343
64015043353
71004022552
oct233602025
984741166
1040829973
1121058188
1211810559
1385c7562
1455cba29
1538b7b83
hex26f0415

40829973 has 16 divisors (see below), whose sum is σ = 56198016. Its totient is φ = 26351360.

The previous prime is 40829969. The next prime is 40829989. The reversal of 40829973 is 37992804.

40829973 is nontrivially palindromic in base 15.

It is a cyclic number.

It is not a de Polignac number, because 40829973 - 22 = 40829969 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40829963) 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 15 ways as a sum of consecutive naturals, for example, 15640 + ... + 18062.

It is an arithmetic number, because the mean of its divisors is an integer number (3512376).

Almost surely, 240829973 is an apocalyptic number.

It is an amenable number.

40829973 is a deficient number, since it is larger than the sum of its proper divisors (15368043).

40829973 is a wasteful number, since it uses less digits than its factorization.

40829973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 40829973 is about 6389.8335659076. The cubic root of 40829973 is about 344.3444050518.

It can be divided in two parts, 408 and 29973, that added together give a triangular number (30381 = T246).

The spelling of 40829973 in words is "forty million, eight hundred twenty-nine thousand, nine hundred seventy-three".

Divisors: 1 3 41 123 137 411 2423 5617 7269 16851 99343 298029 331951 995853 13609991 40829973