Search a number
-
+
51262560 = 2532597367
BaseRepresentation
bin1100001110001…
…1010001100000
310120110102000100
43003203101200
5101110400220
65030422400
71161503346
oct303432140
9116412010
1051262560
1126a33358
1215201a00
13a80ac9b
146b45996
154778d90
hex30e3460

51262560 has 144 divisors (see below), whose sum is σ = 177218496. Its totient is φ = 13492224.

The previous prime is 51262559. The next prime is 51262573. The reversal of 51262560 is 6526215.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139497 + ... + 139863.

It is an arithmetic number, because the mean of its divisors is an integer number (1230684).

Almost surely, 251262560 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 51262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88609248).

51262560 is an abundant number, since it is smaller than the sum of its proper divisors (125955936).

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

51262560 is a wasteful number, since it uses less digits than its factorization.

51262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 51262560 is about 7159.7877063500. The cubic root of 51262560 is about 371.4782835688.

Adding to 51262560 its reverse (6526215), we get a palindrome (57788775).

The spelling of 51262560 in words is "fifty-one million, two hundred sixty-two thousand, five hundred sixty".

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 97 120 144 160 180 194 240 288 291 360 367 388 480 485 582 720 734 776 873 970 1101 1164 1440 1455 1468 1552 1746 1835 1940 2202 2328 2910 2936 3104 3303 3492 3670 3880 4365 4404 4656 5505 5820 5872 6606 6984 7340 7760 8730 8808 9312 11010 11640 11744 13212 13968 14680 15520 16515 17460 17616 22020 23280 26424 27936 29360 33030 34920 35232 35599 44040 46560 52848 58720 66060 69840 71198 88080 105696 106797 132120 139680 142396 176160 177995 213594 264240 284792 320391 355990 427188 528480 533985 569584 640782 711980 854376 1067970 1139168 1281564 1423960 1601955 1708752 2135940 2563128 2847920 3203910 3417504 4271880 5126256 5695840 6407820 8543760 10252512 12815640 17087520 25631280 51262560