Search a number
-
+
45689644 = 227111311411
BaseRepresentation
bin1010111001001…
…0101100101100
310011222021102001
42232102230230
543144032034
64311142044
71063232650
oct256225454
9104867361
1045689644
1123877340
1213374924
1396094c0
1460d4a60
154027a14
hex2b92b2c

45689644 has 48 divisors (see below), whose sum is σ = 107364096. Its totient is φ = 16430400.

The previous prime is 45689641. The next prime is 45689681. The reversal of 45689644 is 44698654.

45689644 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 = 45689594 and 45689603.

It is not an unprimeable number, because it can be changed into a prime (45689641) 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, 1702 + ... + 9709.

It is an arithmetic number, because the mean of its divisors is an integer number (2236752).

Almost surely, 245689644 is an apocalyptic number.

45689644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45689644 is an abundant number, since it is smaller than the sum of its proper divisors (61674452).

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

45689644 is a wasteful number, since it uses less digits than its factorization.

45689644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446 (or 11444 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 45689644 is about 6759.4115128464. The cubic root of 45689644 is about 357.4971561545.

It can be divided in two parts, 456 and 89644, that added together give a triangular number (90100 = T424).

The spelling of 45689644 in words is "forty-five million, six hundred eighty-nine thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 11411 22822 45644 79877 125521 148343 159754 251042 296686 319508 502084 593372 878647 1038401 1631773 1757294 2076802 3263546 3514588 4153604 6527092 11422411 22844822 45689644