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56250540 = 223254761109
BaseRepresentation
bin1101011010010…
…1000010101100
310220211211020100
43112211002230
5103400004130
65325351100
71252056513
oct326450254
9126754210
1056250540
112982a955
1216a08490
13b866458
14768367a
154e11c60
hex35a50ac

56250540 has 144 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 14307840.

The previous prime is 56250499. The next prime is 56250547. The reversal of 56250540 is 4505265.

56250540 is a `hidden beast` number, since 562 + 50 + 54 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56250547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516006 + ... + 516114.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 256250540 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 56250540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

56250540 is an abundant number, since it is smaller than the sum of its proper divisors (122488020).

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

56250540 is a wasteful number, since it uses less digits than its factorization.

56250540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 56250540 is about 7500.0359999136. The cubic root of 56250540 is about 383.1559422879.

The spelling of 56250540 in words is "fifty-six million, two hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 61 90 94 109 122 141 180 183 188 218 235 244 282 305 327 366 423 436 470 545 549 564 610 654 705 732 846 915 940 981 1090 1098 1220 1308 1410 1635 1692 1830 1962 2115 2180 2196 2745 2820 2867 3270 3660 3924 4230 4905 5123 5490 5734 6540 6649 8460 8601 9810 10246 10980 11468 13298 14335 15369 17202 19620 19947 20492 25615 25803 26596 28670 30738 33245 34404 39894 43005 46107 51230 51606 57340 59841 61476 66490 76845 79788 86010 92214 99735 102460 103212 119682 129015 132980 153690 172020 184428 199470 230535 239364 258030 299205 307380 312503 398940 461070 516060 598410 625006 922140 937509 1196820 1250012 1562515 1875018 2812527 3125030 3750036 4687545 5625054 6250060 9375090 11250108 14062635 18750180 28125270 56250540