Search a number
-
+
49397725440 = 2832573971543
BaseRepresentation
bin101110000000010101…
…010111100100000000
311201111121112110020200
4232000111113210000
51302131304203230
634405404405200
73366056511150
oct560025274400
9151447473220
1049397725440
1119a49801288
1296a7246800
134873058a4b
142568754760
151441a78160
hexb80557900

49397725440 has 432 divisors, whose sum is σ = 195945754368. Its totient is φ = 11255169024.

The previous prime is 49397725409. The next prime is 49397725441. The reversal of 49397725440 is 4452779394.

49397725440 is a `hidden beast` number, since 4 + 9 + 3 + 97 + 7 + 2 + 544 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (49397725441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32013309 + ... + 32014851.

Almost surely, 249397725440 is an apocalyptic number.

49397725440 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 49397725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97972877184).

49397725440 is an abundant number, since it is smaller than the sum of its proper divisors (146548028928).

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

49397725440 is a wasteful number, since it uses less digits than its factorization.

49397725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 49397725440 in words is "forty-nine billion, three hundred ninety-seven million, seven hundred twenty-five thousand, four hundred forty".