Search a number
-
+
45434736 = 2433105173
BaseRepresentation
bin1010110101010…
…0011101110000
310011111022202000
42231110131300
543112402421
64301454000
71061121534
oct255243560
9104438660
1045434736
1123712876
1213271300
13954a479
146069bc4
153ec7226
hex2b54770

45434736 has 40 divisors (see below), whose sum is σ = 130415760. Its totient is φ = 15144768.

The previous prime is 45434723. The next prime is 45434743. The reversal of 45434736 is 63743454.

It is a happy number.

45434736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45434736.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52155 + ... + 53018.

It is an arithmetic number, because the mean of its divisors is an integer number (3260394).

Almost surely, 245434736 is an apocalyptic number.

It is an amenable number.

45434736 is an abundant number, since it is smaller than the sum of its proper divisors (84981024).

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

45434736 is a wasteful number, since it uses less digits than its factorization.

45434736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105190 (or 105178 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 45434736 is about 6740.5293560669. The cubic root of 45434736 is about 356.8310760736.

The spelling of 45434736 in words is "forty-five million, four hundred thirty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 105173 210346 315519 420692 631038 841384 946557 1262076 1682768 1893114 2524152 2839671 3786228 5048304 5679342 7572456 11358684 15144912 22717368 45434736