Search a number
-
+
5050000540 = 2251324783383
BaseRepresentation
bin1001011010000000…
…01110010010011100
3111000221110121102001
410231000032102130
540320300004130
62153035012044
7236100203434
oct45500162234
914027417361
105050000540
112161659172
12b8b29a024
13626317300
1435c9992c4
151e85316ca
hex12d00e49c

5050000540 has 144 divisors (see below), whose sum is σ = 11900141568. Its totient is φ = 1798248192.

The previous prime is 5050000507. The next prime is 5050000547. The reversal of 5050000540 is 450000505.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5050000547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13185189 + ... + 13185571.

It is an arithmetic number, because the mean of its divisors is an integer number (82639872).

Almost surely, 25050000540 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 5050000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950070784).

5050000540 is an abundant number, since it is smaller than the sum of its proper divisors (6850141028).

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

5050000540 is a wasteful number, since it uses less digits than its factorization.

5050000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 5050000540 is about 71063.3558171861. The cubic root of 5050000540 is about 1715.6570327738.

The spelling of 5050000540 in words is "five billion, fifty million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 47 52 65 83 94 130 166 169 188 235 260 332 338 383 415 470 611 676 766 830 845 940 1079 1222 1532 1660 1690 1915 2158 2444 3055 3380 3830 3901 4316 4979 5395 6110 7660 7802 7943 9958 10790 12220 14027 15604 15886 18001 19505 19916 21580 24895 28054 31772 31789 36002 39010 39715 49790 50713 56108 63578 64727 70135 72004 78020 79430 90005 99580 101426 127156 129454 140270 158860 158945 180010 202852 234013 253565 258908 280540 317890 323635 360020 413257 468026 507130 635780 647270 659269 826514 936052 1014260 1170065 1294540 1318538 1494083 1653028 2066285 2340130 2637076 2988166 3042169 3296345 4132570 4680260 5372341 5976332 6084338 6592690 7470415 8265140 10744682 12168676 13185380 14940830 15210845 19423079 21489364 26861705 29881660 30421690 38846158 53723410 60843380 77692316 97115395 107446820 194230790 252500027 388461580 505000054 1010000108 1262500135 2525000270 5050000540