Search a number
-
+
49781760 = 210357463
BaseRepresentation
bin1011110111100…
…1110000000000
310110200011201220
42331321300000
5100221004020
64534555040
71143065220
oct275716000
9113604656
1049781760
1126111856
1214808a80
13a40cc82
14687c080
154585240
hex2f79c00

49781760 has 176 divisors, whose sum is σ = 182363136. Its totient is φ = 11354112.

The previous prime is 49781759. The next prime is 49781773. The reversal of 49781760 is 6718794.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107289 + ... + 107751.

Almost surely, 249781760 is an apocalyptic number.

49781760 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 49781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91181568).

49781760 is an abundant number, since it is smaller than the sum of its proper divisors (132581376).

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

49781760 is a wasteful number, since it uses less digits than its factorization.

49781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 49781760 is about 7055.6190373347. The cubic root of 49781760 is about 367.8663660974.

The spelling of 49781760 in words is "forty-nine million, seven hundred eighty-one thousand, seven hundred sixty".