Search a number
-
+
45237672 = 2332628301
BaseRepresentation
bin1010110010010…
…0010110101000
310011010022102100
42230210112220
543040101142
64253333400
71056341154
oct254442650
9104108370
1045237672
1123598807
1213197260
1394ab86c
146018064
153e88b4c
hex2b245a8

45237672 has 24 divisors (see below), whose sum is σ = 122518890. Its totient is φ = 15079200.

The previous prime is 45237671. The next prime is 45237737. The reversal of 45237672 is 27673254.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41293476 + 3944196 = 6426^2 + 1986^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (45237671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 314079 + ... + 314222.

Almost surely, 245237672 is an apocalyptic number.

It is an amenable number.

45237672 is an abundant number, since it is smaller than the sum of its proper divisors (77281218).

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

45237672 is a wasteful number, since it uses less digits than its factorization.

45237672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628313 (or 628306 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 45237672 is about 6725.8956280930. The cubic root of 45237672 is about 356.3144341439.

The spelling of 45237672 in words is "forty-five million, two hundred thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 628301 1256602 1884903 2513204 3769806 5026408 5654709 7539612 11309418 15079224 22618836 45237672