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5050527840 = 2532514923539
BaseRepresentation
bin1001011010000100…
…01111000001100000
3111000222110101201200
410231002033001200
540320413342330
62153054201200
7236104530651
oct45502170140
914028411650
105050527840
112161989356
12b8b4b3200
13626470317
1435ca95528
151e85d7a60
hex12d08f060

5050527840 has 144 divisors (see below), whose sum is σ = 17351334000. Its totient is φ = 1337711616.

The previous prime is 5050527821. The next prime is 5050527847. The reversal of 5050527840 is 487250505.

It is a happy number.

5050527840 is a `hidden beast` number, since 5 + 0 + 50 + 527 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5050527795 and 5050527804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5050527847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202791 + ... + 226329.

It is an arithmetic number, because the mean of its divisors is an integer number (120495375).

Almost surely, 25050527840 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 5050527840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675667000).

5050527840 is an abundant number, since it is smaller than the sum of its proper divisors (12300806160).

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

5050527840 is a wasteful number, since it uses less digits than its factorization.

5050527840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23709 (or 23698 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5050527840 is about 71067.0657899987. The cubic root of 5050527840 is about 1715.7167446135.

The spelling of 5050527840 in words is "five billion, fifty million, five hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 149 160 180 240 288 298 360 447 480 596 720 745 894 1192 1341 1440 1490 1788 2235 2384 2682 2980 3576 4470 4768 5364 5960 6705 7152 8940 10728 11920 13410 14304 17880 21456 23539 23840 26820 35760 42912 47078 53640 70617 71520 94156 107280 117695 141234 188312 211851 214560 235390 282468 353085 376624 423702 470780 564936 706170 753248 847404 941560 1059255 1129872 1412340 1694808 1883120 2118510 2259744 2824680 3389616 3507311 3766240 4237020 5649360 6779232 7014622 8474040 10521933 11298720 14029244 16948080 17536555 21043866 28058488 31565799 33896160 35073110 42087732 52609665 56116976 63131598 70146220 84175464 105219330 112233952 126263196 140292440 157828995 168350928 210438660 252526392 280584880 315657990 336701856 420877320 505052784 561169760 631315980 841754640 1010105568 1262631960 1683509280 2525263920 5050527840