Search a number
-
+
45820224 = 263279549
BaseRepresentation
bin1010111011001…
…0100101000000
310012012220112100
42232302211000
543212221344
64314030400
71064315442
oct256624500
9105186470
1045820224
112395645a
1213418400
139653a78
14612a492
154051569
hex2bb2940

45820224 has 42 divisors (see below), whose sum is σ = 131337050. Its totient is φ = 15273216.

The previous prime is 45820213. The next prime is 45820259. The reversal of 45820224 is 42202854.

It is a happy number.

45820224 is a `hidden beast` number, since 458 + 202 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 14400 = 6768^2 + 120^2 .

It is a congruent number.

It is an unprimeable number.

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, 39199 + ... + 40350.

Almost surely, 245820224 is an apocalyptic number.

It is an amenable number.

45820224 is an abundant number, since it is smaller than the sum of its proper divisors (85516826).

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

45820224 is a wasteful number, since it uses less digits than its factorization.

45820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79567 (or 79554 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45820224 is about 6769.0637461912. The cubic root of 45820224 is about 357.8374052279.

The spelling of 45820224 in words is "forty-five million, eight hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 79549 159098 238647 318196 477294 636392 715941 954588 1272784 1431882 1909176 2545568 2863764 3818352 5091136 5727528 7636704 11455056 15273408 22910112 45820224