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5050544040 = 23325113124153
BaseRepresentation
bin1001011010000100…
…10010111110101000
3111000222111012221200
410231002102332220
540320414402130
62153054404200
7236104626123
oct45502227650
914028435850
105050544040
11216199a543
12b8b500660
136264777c9
1435ca9b3ba
151e85dc760
hex12d092fa8

5050544040 has 96 divisors (see below), whose sum is σ = 16559660520. Its totient is φ = 1334882304.

The previous prime is 5050544027. The next prime is 5050544089. The reversal of 5050544040 is 404450505.

It can be written as a sum of positive squares in 4 ways, for example, as 1423854756 + 3626689284 = 37734^2 + 60222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5050543995 and 5050544013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21397 + ... + 102756.

Almost surely, 25050544040 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 5050544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279830260).

5050544040 is an abundant number, since it is smaller than the sum of its proper divisors (11509116480).

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

5050544040 is a wasteful number, since it uses less digits than its factorization.

5050544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124283 (or 124276 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5050544040 is about 71067.1797667531. The cubic root of 5050544040 is about 1715.7185790476.

Adding to 5050544040 its reverse (404450505), we get a palindrome (5454994545).

The spelling of 5050544040 in words is "five billion, fifty million, five hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 124153 248306 372459 496612 620765 744918 993224 1117377 1241530 1489836 1862295 2234754 2483060 2979672 3724590 4469508 4966120 5586885 7449180 8939016 11173770 14029289 14898360 22347540 28058578 42087867 44695080 56117156 70146445 84175734 112234312 126263601 140292890 168351468 210439335 252527202 280585780 336702936 420878670 505054404 561171560 631318005 841757340 1010108808 1262636010 1683514680 2525272020 5050544040