Search a number
-
+
49424495760 = 24345172319507
BaseRepresentation
bin101110000001111011…
…011111010010010000
311201120110220112020000
4232001323133102100
51302210132331020
634412202250000
73366533165553
oct560173372220
9151513815200
1049424495760
1119a62926212
1296b41b6900
13487876c983
14256c12269a
1514440b5090
hexb81edf490

49424495760 has 400 divisors, whose sum is σ = 189668324736. Its totient is φ = 11864641536.

The previous prime is 49424495717. The next prime is 49424495761. The reversal of 49424495760 is 6759442494.

49424495760 is a `hidden beast` number, since 4 + 9 + 4 + 24 + 49 + 576 + 0 = 666.

49424495760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×494244957602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49424495697 and 49424495706.

It is not an unprimeable number, because it can be changed into a prime (49424495761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2523927 + ... + 2543433.

Almost surely, 249424495760 is an apocalyptic number.

49424495760 is a gapful number since it is divisible by the number (40) 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 49424495760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94834162368).

49424495760 is an abundant number, since it is smaller than the sum of its proper divisors (140243828976).

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

49424495760 is a wasteful number, since it uses less digits than its factorization.

49424495760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19572 (or 19557 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 49424495760 in words is "forty-nine billion, four hundred twenty-four million, four hundred ninety-five thousand, seven hundred sixty".