Search a number
-
+
48180832 = 257297417
BaseRepresentation
bin1011011111001…
…0111001100000
310100122211200021
42313302321200
544313241312
64440403224
71123346620
oct267627140
9110584607
1048180832
1125218a77
1214176514
139c9c38b
146582880
15436ac07
hex2df2e60

48180832 has 48 divisors (see below), whose sum is σ = 112160160. Its totient is φ = 19934208.

The previous prime is 48180829. The next prime is 48180841. The reversal of 48180832 is 23808184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2788 + ... + 10204.

It is an arithmetic number, because the mean of its divisors is an integer number (2336670).

Almost surely, 248180832 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 48180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56080080).

48180832 is an abundant number, since it is smaller than the sum of its proper divisors (63979328).

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

48180832 is a wasteful number, since it uses less digits than its factorization.

48180832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7463 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 48180832 is about 6941.2413875329. The cubic root of 48180832 is about 363.8799265832.

The spelling of 48180832 in words is "forty-eight million, one hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 7417 14834 29668 51919 59336 103838 118672 207676 215093 237344 415352 430186 830704 860372 1505651 1661408 1720744 3011302 3441488 6022604 6882976 12045208 24090416 48180832