Search a number
-
+
5013244240 = 24517191311481
BaseRepresentation
bin1001010101101000…
…00000100101010000
3110221101022012020121
410222310000211100
540231342303430
62145243120024
7235142605264
oct45264004520
913841265217
105013244240
112142933664
12b7ab13014
1361b818014
14357b4c0a4
151e51c0a7a
hex12ad00950

5013244240 has 160 divisors (see below), whose sum is σ = 13098983040. Its totient is φ = 1773158400.

The previous prime is 5013244231. The next prime is 5013244241. The reversal of 5013244240 is 424423105.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013244241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3384300 + ... + 3385780.

It is an arithmetic number, because the mean of its divisors is an integer number (81868644).

Almost surely, 25013244240 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 5013244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549491520).

5013244240 is an abundant number, since it is smaller than the sum of its proper divisors (8085738800).

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

5013244240 is a wasteful number, since it uses less digits than its factorization.

5013244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 5013244240 is about 70804.2671030497. The cubic root of 5013244240 is about 1711.4844376607.

Adding to 5013244240 its reverse (424423105), we get a palindrome (5437667345).

The spelling of 5013244240 in words is "five billion, thirteen million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 131 136 152 170 190 262 272 304 323 340 380 524 646 655 680 760 1048 1292 1310 1360 1481 1520 1615 2096 2227 2489 2584 2620 2962 3230 4454 4978 5168 5240 5924 6460 7405 8908 9956 10480 11135 11848 12445 12920 14810 17816 19912 22270 23696 24890 25177 25840 28139 29620 35632 39824 42313 44540 49780 50354 56278 59240 84626 89080 99560 100708 112556 118480 125885 140695 169252 178160 194011 199120 201416 211565 225112 251770 281390 338504 388022 402832 423130 450224 478363 503540 562780 677008 776044 846260 956726 970055 1007080 1125560 1552088 1692520 1913452 1940110 2014160 2251120 2391815 3104176 3298187 3385040 3686209 3826904 3880220 4783630 6596374 7372418 7653808 7760440 9567260 13192748 14744836 15520880 16490935 18431045 19134520 26385496 29489672 32981870 36862090 38269040 52770992 58979344 62665553 65963740 73724180 125331106 131927480 147448360 250662212 263854960 294896720 313327765 501324424 626655530 1002648848 1253311060 2506622120 5013244240