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45689436 = 223213233419
BaseRepresentation
bin1010111001001…
…0101001011100
310011222021010100
42232102221130
543144030221
64311141100
71063232232
oct256225134
9104867110
1045689436
1123877171
1213374790
139609390
1460d4952
154027926
hex2b92a5c

45689436 has 72 divisors (see below), whose sum is σ = 125208720. Its totient is φ = 13964544.

The previous prime is 45689407. The next prime is 45689437. The reversal of 45689436 is 63498654.

45689436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45689391 and 45689400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45689437) 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 23 ways as a sum of consecutive naturals, for example, 108835 + ... + 109253.

It is an arithmetic number, because the mean of its divisors is an integer number (1739010).

Almost surely, 245689436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45689436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62604360).

45689436 is an abundant number, since it is smaller than the sum of its proper divisors (79519284).

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

45689436 is a wasteful number, since it uses less digits than its factorization.

45689436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45689436 is about 6759.3961268741. The cubic root of 45689436 is about 357.4966136573.

The spelling of 45689436 in words is "forty-five million, six hundred eighty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 233 234 419 466 468 699 838 932 1257 1398 1676 2097 2514 2796 3029 3771 4194 5028 5447 6058 7542 8388 9087 10894 12116 15084 16341 18174 21788 27261 32682 36348 49023 54522 65364 97627 98046 109044 195254 196092 292881 390508 585762 878643 1171524 1269151 1757286 2538302 3514572 3807453 5076604 7614906 11422359 15229812 22844718 45689436