Search a number
-
+
48270032 = 2419261137
BaseRepresentation
bin1011100000100…
…0101011010000
310100211101000222
42320020223100
544324120112
64442332212
71124200646
oct270105320
9110741028
1048270032
1125279a98
12141ba068
13a000b65
1465a7196
154387372
hex2e08ad0

48270032 has 60 divisors (see below), whose sum is σ = 101054916. Its totient is φ = 22325760.

The previous prime is 48270029. The next prime is 48270041. The reversal of 48270032 is 23007284.

It can be written as a sum of positive squares in 2 ways, for example, as 12222016 + 36048016 = 3496^2 + 6004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48269983 and 48270010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352268 + ... + 352404.

Almost surely, 248270032 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 48270032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50527458).

48270032 is an abundant number, since it is smaller than the sum of its proper divisors (52784884).

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

48270032 is a wasteful number, since it uses less digits than its factorization.

48270032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 48270032 is about 6947.6637800055. The cubic root of 48270032 is about 364.1043455631.

The spelling of 48270032 in words is "forty-eight million, two hundred seventy thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 61 76 122 137 152 244 274 304 361 488 548 722 976 1096 1159 1444 2192 2318 2603 2888 4636 5206 5776 8357 9272 10412 16714 18544 20824 22021 33428 41648 44042 49457 66856 88084 98914 133712 158783 176168 197828 317566 352336 395656 635132 791312 1270264 2540528 3016877 6033754 12067508 24135016 48270032