Search a number
-
+
48225736 = 23131727277
BaseRepresentation
bin1011011111110…
…1110111001000
310100202010021101
42313331313020
544321210421
64441351144
71123624546
oct267756710
9110663241
1048225736
1125249789
12141984b4
139cb6950
146594d96
154379191
hex2dfddc8

48225736 has 32 divisors (see below), whose sum is σ = 103110840. Its totient is φ = 20947968.

The previous prime is 48225731. The next prime is 48225767. The reversal of 48225736 is 63752284.

It can be written as a sum of positive squares in 4 ways, for example, as 33062500 + 15163236 = 5750^2 + 3894^2 .

It is a super-2 number, since 2×482257362 = 4651443225483392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48225695 and 48225704.

It is not an unprimeable number, because it can be changed into a prime (48225731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11871 + ... + 15406.

Almost surely, 248225736 is an apocalyptic number.

It is an amenable number.

48225736 is an abundant number, since it is smaller than the sum of its proper divisors (54885104).

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

48225736 is a wasteful number, since it uses less digits than its factorization.

48225736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27313 (or 27309 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 48225736 is about 6944.4752141541. The cubic root of 48225736 is about 363.9929354987.

The spelling of 48225736 in words is "forty-eight million, two hundred twenty-five thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 27277 54554 109108 218216 354601 463709 709202 927418 1418404 1854836 2836808 3709672 6028217 12056434 24112868 48225736