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40666129 = 729112
BaseRepresentation
bin1001101100100…
…0010000010001
32211112001102221
42123020100101
540402304004
64011341041
71002441100
oct233102021
984461387
1040666129
1120a56079
1211751781
13856aaca
145588037
153884354
hex26c8411

40666129 has 9 divisors (see below), whose sum is σ = 47357481. Its totient is φ = 34818420.

The previous prime is 40666117. The next prime is 40666133. The reversal of 40666129 is 92166604.

The square root of 40666129 is 6377.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 40666129 - 211 = 40664081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40666094 and 40666103.

It is not an unprimeable number, because it can be changed into a prime (40666229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44184 + ... + 45094.

Almost surely, 240666129 is an apocalyptic number.

40666129 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40666129 is the 6377-th square number.

40666129 is the 3189-th centered octagonal number.

It is an amenable number.

40666129 is a deficient number, since it is larger than the sum of its proper divisors (6691352).

40666129 is an frugal number, since it uses more digits than its factorization.

40666129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 40666129 is about 343.8831883225.

The spelling of 40666129 in words is "forty million, six hundred sixty-six thousand, one hundred twenty-nine".

Divisors: 1 7 49 911 6377 44639 829921 5809447 40666129