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50130560 = 275293773
BaseRepresentation
bin1011111100111…
…0111010000000
310111022220012102
42333032322000
5100313134220
64550245532
71146050144
oct277167200
9114286172
1050130560
112632a917
12149568a8
13a50296c
14692d224
154603775
hex2fcee80

50130560 has 128 divisors (see below), whose sum is σ = 129070800. Its totient is φ = 18579456.

The previous prime is 50130551. The next prime is 50130581. The reversal of 50130560 is 6503105.

It can be written as a sum of positive squares in 8 ways, for example, as 34951744 + 15178816 = 5912^2 + 3896^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686684 + ... + 686756.

Almost surely, 250130560 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 50130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64535400).

50130560 is an abundant number, since it is smaller than the sum of its proper divisors (78940240).

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

50130560 is a wasteful number, since it uses less digits than its factorization.

50130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 50130560 is about 7080.2937792157. The cubic root of 50130560 is about 368.7235292690.

Adding to 50130560 its reverse (6503105), we get a palindrome (56633665).

The spelling of 50130560 in words is "fifty million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 73 74 80 116 128 145 146 148 160 185 232 290 292 296 320 365 370 464 580 584 592 640 730 740 928 1073 1160 1168 1184 1460 1480 1856 2117 2146 2320 2336 2368 2701 2920 2960 3712 4234 4292 4640 4672 4736 5365 5402 5840 5920 8468 8584 9280 9344 10585 10730 10804 11680 11840 13505 16936 17168 18560 21170 21460 21608 23360 23680 27010 33872 34336 42340 42920 43216 46720 54020 67744 68672 78329 84680 85840 86432 108040 135488 137344 156658 169360 171680 172864 216080 270976 313316 338720 343360 345728 391645 432160 626632 677440 686720 783290 864320 1253264 1354880 1566580 1728640 2506528 3133160 5013056 6266320 10026112 12532640 25065280 50130560