Search a number
-
+
48973232 = 24711127313
BaseRepresentation
bin1011101011010…
…0010110110000
310102011002122102
42322310112300
5100014120412
64505355532
71133160050
oct272642660
9112132572
1048973232
112570a350
1214498ba8
13a1b8c59
14670b560
1544758c2
hex2eb45b0

48973232 has 80 divisors (see below), whose sum is σ = 119611392. Its totient is φ = 18869760.

The previous prime is 48973231. The next prime is 48973313. The reversal of 48973232 is 23237984.

It is a happy number.

48973232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48973231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 156308 + ... + 156620.

Almost surely, 248973232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48973232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59805696).

48973232 is an abundant number, since it is smaller than the sum of its proper divisors (70638160).

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

48973232 is a wasteful number, since it uses less digits than its factorization.

48973232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 48973232 is about 6998.0877388041. The cubic root of 48973232 is about 365.8639246504.

The spelling of 48973232 in words is "forty-eight million, nine hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 127 154 176 254 308 313 508 616 626 889 1016 1232 1252 1397 1778 2032 2191 2504 2794 3443 3556 4382 5008 5588 6886 7112 8764 9779 11176 13772 14224 17528 19558 22352 24101 27544 35056 39116 39751 48202 55088 78232 79502 96404 156464 159004 192808 278257 318008 385616 437261 556514 636016 874522 1113028 1749044 2226056 3060827 3498088 4452112 6121654 6996176 12243308 24486616 48973232