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45905629 = 7111933089
BaseRepresentation
bin1010111100011…
…1011011011101
310012101020200111
42233013123131
543222440004
64315530021
71065122440
oct257073335
9105336614
1045905629
1123a04640
1213459911
1396838c3
14614d657
15406ba04
hex2bc76dd

45905629 has 16 divisors (see below), whose sum is σ = 57548160. Its totient is φ = 35573760.

The previous prime is 45905603. The next prime is 45905647. The reversal of 45905629 is 92650954.

It is a de Polignac number, because none of the positive numbers 2k-45905629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45905591 and 45905600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45905029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13317 + ... + 16405.

It is an arithmetic number, because the mean of its divisors is an integer number (3596760).

Almost surely, 245905629 is an apocalyptic number.

It is an amenable number.

45905629 is a deficient number, since it is larger than the sum of its proper divisors (11642531).

45905629 is a wasteful number, since it uses less digits than its factorization.

45905629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300.

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 45905629 is about 6775.3692888285. The cubic root of 45905629 is about 358.0595934002.

The spelling of 45905629 in words is "forty-five million, nine hundred five thousand, six hundred twenty-nine".

Divisors: 1 7 11 77 193 1351 2123 3089 14861 21623 33979 237853 596177 4173239 6557947 45905629