Search a number
-
+
44064020 = 225711133171
BaseRepresentation
bin1010100000010…
…1110100010100
310001220200110202
42220011310110
542240022040
64212240032
71043352350
oct250056424
9101820422
1044064020
1122966a50
1212910018
13918a5b0
145bd0460
153d06015
hex2a05d14

44064020 has 192 divisors, whose sum is σ = 130056192. Its totient is φ = 12096000.

The previous prime is 44064001. The next prime is 44064029. The reversal of 44064020 is 2046044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44063983 and 44064001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44064029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620585 + ... + 620655.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 244064020 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 44064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

44064020 is an abundant number, since it is smaller than the sum of its proper divisors (85992172).

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

44064020 is a wasteful number, since it uses less digits than its factorization.

44064020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44064020 is about 6638.0735157122. The cubic root of 44064020 is about 353.2059724513.

The spelling of 44064020 in words is "forty-four million, sixty-four thousand, twenty".