Search a number
-
+
49109760 = 283357229
BaseRepresentation
bin1011101101010…
…1101100000000
310102102000221000
42323111230000
5100033003020
64512332000
71134266100
oct273255400
9112360830
1049109760
11257a2987
1214544000
13a23613b
146745200
1544a1090
hex2ed5b00

49109760 has 432 divisors, whose sum is σ = 209714400. Its totient is φ = 10838016.

The previous prime is 49109743. The next prime is 49109773. The reversal of 49109760 is 6790194.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693426 + ... + 1693454.

It is an arithmetic number, because the mean of its divisors is an integer number (485450).

Almost surely, 249109760 is an apocalyptic number.

49109760 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 49109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104857200).

49109760 is an abundant number, since it is smaller than the sum of its proper divisors (160604640).

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

49109760 is a wasteful number, since it uses less digits than its factorization.

49109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 49109760 is about 7007.8356145104. The cubic root of 49109760 is about 366.2035954051.

The spelling of 49109760 in words is "forty-nine million, one hundred nine thousand, seven hundred sixty".