Search a number
-
+
4404711808 = 27710148673
BaseRepresentation
bin1000001101000101…
…01001000110000000
3102100222020112200101
410012202221012000
533010101234213
62005024132144
7214103301250
oct40642510600
912328215611
104404711808
1119603881a2
12a2b167054
13552722863
142dadc3960
151aba69bdd
hex1068a9180

4404711808 has 64 divisors (see below), whose sum is σ = 10128085920. Its totient is φ = 1869004800.

The previous prime is 4404711791. The next prime is 4404711809. The reversal of 4404711808 is 8081174044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×44047118082 = 38802972223069257728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404711809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66160 + ... + 114832.

Almost surely, 24404711808 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 4404711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064042960).

4404711808 is an abundant number, since it is smaller than the sum of its proper divisors (5723374112).

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

4404711808 is a wasteful number, since it uses less digits than its factorization.

4404711808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48795 (or 48783 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 4404711808 is about 66368.0028929604. The cubic root of 4404711808 is about 1639.2272544311.

It can be divided in two parts, 44047 and 11808, that added together give a palindrome (55855).

The spelling of 4404711808 in words is "four billion, four hundred four million, seven hundred eleven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 404 448 707 808 896 1414 1616 2828 3232 5656 6464 11312 12928 22624 45248 48673 90496 97346 194692 340711 389384 681422 778768 1362844 1557536 2725688 3115072 4915973 5451376 6230144 9831946 10902752 19663892 21805504 34411811 39327784 43611008 68823622 78655568 137647244 157311136 275294488 314622272 550588976 629244544 1101177952 2202355904 4404711808