Search a number
-
+
49068576 = 2532347491
BaseRepresentation
bin1011101100101…
…1101000100000
310102022221102200
42323023220200
5100030143301
64511413200
71134035034
oct273135040
9112287380
1049068576
1125774a47
1214524200
13a22047b
1467341c4
154493c86
hex2ecba20

49068576 has 72 divisors (see below), whose sum is σ = 140225904. Its totient is φ = 16275840.

The previous prime is 49068541. The next prime is 49068577. The reversal of 49068576 is 67586094.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (49068577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99691 + ... + 100181.

It is an arithmetic number, because the mean of its divisors is an integer number (1947582).

Almost surely, 249068576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49068576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70112952).

49068576 is an abundant number, since it is smaller than the sum of its proper divisors (91157328).

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

49068576 is a wasteful number, since it uses less digits than its factorization.

49068576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 49068576 is about 7004.8965731123. The cubic root of 49068576 is about 366.1011992844.

The spelling of 49068576 in words is "forty-nine million, sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 347 491 694 982 1041 1388 1473 1964 2082 2776 2946 3123 3928 4164 4419 5552 5892 6246 7856 8328 8838 11104 11784 12492 15712 16656 17676 23568 24984 33312 35352 47136 49968 70704 99936 141408 170377 340754 511131 681508 1022262 1363016 1533393 2044524 2726032 3066786 4089048 5452064 6133572 8178096 12267144 16356192 24534288 49068576