Search a number
-
+
45840096 = 2532159167
BaseRepresentation
bin1010111011011…
…1011011100000
310012020220210100
42232313123200
543213340341
64314302400
71064430411
oct256673340
9105226710
1045840096
112396a385
1213427a00
13965cb23
146133808
1540573b6
hex2bb76e0

45840096 has 36 divisors (see below), whose sum is σ = 130358592. Its totient is φ = 15279936.

The previous prime is 45840089. The next prime is 45840101. The reversal of 45840096 is 69004854.

It is a tau number, because it is divible by the number of its divisors (36).

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 45840096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79296 + ... + 79871.

It is an arithmetic number, because the mean of its divisors is an integer number (3621072).

Almost surely, 245840096 is an apocalyptic number.

It is an amenable number.

45840096 is an abundant number, since it is smaller than the sum of its proper divisors (84518496).

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

45840096 is a wasteful number, since it uses less digits than its factorization.

45840096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159183 (or 159172 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45840096 is about 6770.5314414749. The cubic root of 45840096 is about 357.8891285104.

The spelling of 45840096 in words is "forty-five million, eight hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 159167 318334 477501 636668 955002 1273336 1432503 1910004 2546672 2865006 3820008 5093344 5730012 7640016 11460024 15280032 22920048 45840096