Search a number
-
+
5040325530 = 2325167443757
BaseRepresentation
bin1001011000110110…
…10100001110011010
3111000021021001210100
410230123110032122
540310310404110
62152051400230
7235622026422
oct45433241632
914007231710
105040325530
112157150199
12b87bb3076
1362430a656
1435b59b482
151e776ebc0
hex12c6d439a

5040325530 has 96 divisors (see below), whose sum is σ = 13230532224. Its totient is φ = 1331261568.

The previous prime is 5040325487. The next prime is 5040325553. The reversal of 5040325530 is 355230405.

5040325530 is a `hidden beast` number, since 5 + 0 + 403 + 255 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5040325494 and 5040325503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6657912 + ... + 6658668.

It is an arithmetic number, because the mean of its divisors is an integer number (137818044).

Almost surely, 25040325530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040325530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615266112).

5040325530 is an abundant number, since it is smaller than the sum of its proper divisors (8190206694).

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

5040325530 is a wasteful number, since it uses less digits than its factorization.

5040325530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 5040325530 is about 70995.2500523803. The cubic root of 5040325530 is about 1714.5606889567.

Adding to 5040325530 its reverse (355230405), we get a palindrome (5395555935).

The spelling of 5040325530 in words is "five billion, forty million, three hundred twenty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 443 501 757 835 886 1002 1329 1503 1514 1670 2215 2271 2505 2658 3006 3785 3987 4430 4542 5010 6645 6813 7515 7570 7974 11355 13290 13626 15030 19935 22710 34065 39870 68130 73981 126419 147962 221943 252838 335351 369905 379257 443886 632095 665829 670702 739810 758514 1006053 1109715 1137771 1264190 1331658 1676755 1896285 2012106 2219430 2275542 3018159 3329145 3353510 3792570 5030265 5688855 6036318 6658290 10060530 11377710 15090795 30181590 56003617 112007234 168010851 280018085 336021702 504032553 560036170 840054255 1008065106 1680108510 2520162765 5040325530