Search a number
-
+
48740130432 = 2733717313823
BaseRepresentation
bin101101011001001000…
…110101111010000000
311122210210011011111000
4231121020311322000
51244304433133212
634220234052000
73343553162430
oct553110657200
9148723134430
1048740130432
1119741595434
129542b7a000
134799a45a86
1425052982c0
151403e801dc
hexb59235e80

48740130432 has 512 divisors, whose sum is σ = 179734118400. Its totient is φ = 12680478720.

The previous prime is 48740130431. The next prime is 48740130457. The reversal of 48740130432 is 23403104784.

48740130432 is a `hidden beast` number, since 487 + 4 + 0 + 130 + 43 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48740130431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12747273 + ... + 12751095.

It is an arithmetic number, because the mean of its divisors is an integer number (351043200).

Almost surely, 248740130432 is an apocalyptic number.

48740130432 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 48740130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867059200).

48740130432 is an abundant number, since it is smaller than the sum of its proper divisors (130993987968).

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

48740130432 is a wasteful number, since it uses less digits than its factorization.

48740130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 48740130432 in words is "forty-eight billion, seven hundred forty million, one hundred thirty thousand, four hundred thirty-two".