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5088411405 = 3257111468517
BaseRepresentation
bin1001011110100101…
…01111111100001101
3111010121202002012200
410233102233330031
540410113131110
62200530152113
7240044532450
oct45722577415
914117662180
105088411405
112181303890
12ba0122639
1363127572c
14363b17497
151ebabc6c0
hex12f4aff0d

5088411405 has 48 divisors (see below), whose sum is σ = 10996262784. Its totient is φ = 2114663040.

The previous prime is 5088411403. The next prime is 5088411467. The reversal of 5088411405 is 5041148805.

5088411405 is a `hidden beast` number, since 508 + 8 + 4 + 1 + 140 + 5 = 666.

It is not a de Polignac number, because 5088411405 - 21 = 5088411403 is a prime.

It is a super-3 number, since 3×50884114053 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5088411405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5088411403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730794 + ... + 737723.

It is an arithmetic number, because the mean of its divisors is an integer number (229088808).

Almost surely, 25088411405 is an apocalyptic number.

5088411405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5088411405 is an abundant number, since it is smaller than the sum of its proper divisors (5907851379).

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

5088411405 is a wasteful number, since it uses less digits than its factorization.

5088411405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468546 (or 1468543 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5088411405 is about 71333.1017480664. The cubic root of 5088411405 is about 1719.9958767028.

The spelling of 5088411405 in words is "five billion, eighty-eight million, four hundred eleven thousand, four hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 1468517 4405551 7342585 10279619 13216653 16153687 22027755 30838857 48461061 51398095 66083265 80768435 92516571 113075809 145383183 154194285 242305305 339227427 462582855 565379045 726915915 1017682281 1696137135 5088411405