Search a number
-
+
48038472 = 23321933457
BaseRepresentation
bin1011011101000…
…0001001001000
310100101121101200
42313100021020
544244212342
64433344200
71122214566
oct267201110
9110347350
1048038472
1125131019
1214108060
139c4c641
146546a36
15433d94c
hex2dd0248

48038472 has 48 divisors (see below), whose sum is σ = 130816140. Its totient is φ = 15925248.

The previous prime is 48038461. The next prime is 48038489. The reversal of 48038472 is 27483084.

It can be written as a sum of positive squares in 2 ways, for example, as 38266596 + 9771876 = 6186^2 + 3126^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12168 + ... + 15624.

Almost surely, 248038472 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 48038472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65408070).

48038472 is an abundant number, since it is smaller than the sum of its proper divisors (82777668).

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

48038472 is a wasteful number, since it uses less digits than its factorization.

48038472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48038472 is about 6930.9791516062. The cubic root of 48038472 is about 363.5211874478.

The spelling of 48038472 in words is "forty-eight million, thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3457 3474 4632 6914 6948 10371 13828 13896 20742 27656 31113 41484 62226 82968 124452 248904 667201 1334402 2001603 2668804 4003206 5337608 6004809 8006412 12009618 16012824 24019236 48038472