Search a number
-
+
48181392 = 2434747113
BaseRepresentation
bin1011011111001…
…1000010010000
310100122212110000
42313303002100
544313301032
64440410000
71123351350
oct267630220
9110585400
1048181392
1125219436
1214176900
139c9c6cc
146582b60
15436ae7c
hex2df3090

48181392 has 200 divisors, whose sum is σ = 164203776. Its totient is φ = 13353984.

The previous prime is 48181391. The next prime is 48181403. The reversal of 48181392 is 29318184.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48181391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 426328 + ... + 426440.

Almost surely, 248181392 is an apocalyptic number.

48181392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48181392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101888).

48181392 is an abundant number, since it is smaller than the sum of its proper divisors (116022384).

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

48181392 is a wasteful number, since it uses less digits than its factorization.

48181392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 48181392 is about 6941.2817260215. The cubic root of 48181392 is about 363.8813363552.

The spelling of 48181392 in words is "forty-eight million, one hundred eighty-one thousand, three hundred ninety-two".