Search a number
-
+
4488285088 = 257413971231
BaseRepresentation
bin1000010111000010…
…11100101110100000
3102120210111111200001
410023201130232200
533143000110323
62021211305344
7216136536160
oct41341345640
912523444601
104488285088
1119a357a021
12a5314b254
13566b344c1
1430813a5a0
151b40773ad
hex10b85cba0

4488285088 has 96 divisors (see below), whose sum is σ = 10379432448. Its totient is φ = 1870387200.

The previous prime is 4488285083. The next prime is 4488285091. The reversal of 4488285088 is 8805828844.

It is not an unprimeable number, because it can be changed into a prime (4488285083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3645433 + ... + 3646663.

It is an arithmetic number, because the mean of its divisors is an integer number (108119088).

Almost surely, 24488285088 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 4488285088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189716224).

4488285088 is an abundant number, since it is smaller than the sum of its proper divisors (5891147360).

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

4488285088 is a wasteful number, since it uses less digits than its factorization.

4488285088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 55.

The square root of 4488285088 is about 66994.6646233862. The cubic root of 4488285088 is about 1649.5297206426.

The spelling of 4488285088 in words is "four billion, four hundred eighty-eight million, two hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 397 574 656 794 1148 1231 1312 1588 2296 2462 2779 3176 4592 4924 5558 6352 8617 9184 9848 11116 12704 16277 17234 19696 22232 32554 34468 39392 44464 50471 65108 68936 88928 100942 113939 130216 137872 201884 227878 260432 275744 353297 403768 455756 488707 520864 706594 807536 911512 977414 1413188 1615072 1823024 1954828 2826376 3420949 3646048 3909656 5652752 6841898 7819312 11305504 13683796 15638624 20036987 27367592 40073974 54735184 80147948 109470368 140258909 160295896 280517818 320591792 561035636 641183584 1122071272 2244142544 4488285088