Search a number
-
+
4408059552 = 2531312832753
BaseRepresentation
bin1000001101011110…
…11010011010100000
3102101012112121220220
410012233122122200
533011430401202
62005224003040
7214143613401
oct40657323240
912335477826
104408059552
111962264426
12a30300480
13553325580
142db6159a8
151abecbabc
hex106bda6a0

4408059552 has 96 divisors (see below), whose sum is σ = 12475487808. Its totient is φ = 1354776576.

The previous prime is 4408059541. The next prime is 4408059563. The reversal of 4408059552 is 2559508044.

It is an interprime number because it is at equal distance from previous prime (4408059541) and next prime (4408059563).

It is a tau number, because it is divible by the number of its divisors (96).

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, 1599808 + ... + 1602560.

It is an arithmetic number, because the mean of its divisors is an integer number (129952998).

Almost surely, 24408059552 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 4408059552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237743904).

4408059552 is an abundant number, since it is smaller than the sum of its proper divisors (8067428256).

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

4408059552 is a wasteful number, since it uses less digits than its factorization.

4408059552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 4408059552 is about 66393.2191718401. The cubic root of 4408059552 is about 1639.6424403913.

The spelling of 4408059552 in words is "four billion, four hundred eight million, fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1283 2566 2753 3849 5132 5506 7698 8259 10264 11012 15396 16518 16679 20528 22024 30792 33036 33358 35789 41056 44048 50037 61584 66072 66716 71578 88096 100074 107367 123168 132144 133432 143156 200148 214734 264288 266864 286312 400296 429468 533728 572624 800592 858936 1145248 1601184 1717872 3435744 3532099 7064198 10596297 14128396 21192594 28256792 42385188 45917287 56513584 84770376 91834574 113027168 137751861 169540752 183669148 275503722 339081504 367338296 551007444 734676592 1102014888 1469353184 2204029776 4408059552