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51245280 = 25325191873
BaseRepresentation
bin1100001101111…
…1000011100000
310120102112022100
43003133003200
5101104322110
65030210400
71161402102
oct303370340
9116375270
1051245280
1126a21379
12151b3a00
13a803168
146b3d572
154773bc0
hex30df0e0

51245280 has 144 divisors (see below), whose sum is σ = 184176720. Its totient is φ = 12939264.

The previous prime is 51245273. The next prime is 51245309. The reversal of 51245280 is 8254215.

It is a happy number.

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, 26424 + ... + 28296.

It is an arithmetic number, because the mean of its divisors is an integer number (1279005).

Almost surely, 251245280 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 51245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92088360).

51245280 is an abundant number, since it is smaller than the sum of its proper divisors (132931440).

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

51245280 is a wasteful number, since it uses less digits than its factorization.

51245280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 51245280 is about 7158.5808649480. The cubic root of 51245280 is about 371.4365385724.

Adding to 51245280 its reverse (8254215), we get a palindrome (59499495).

It can be divided in two parts, 5124 and 5280, that added together give a square (10404 = 1022).

The spelling of 51245280 in words is "fifty-one million, two hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 1873 2280 2736 3040 3420 3746 4560 5472 5619 6840 7492 9120 9365 11238 13680 14984 16857 18730 22476 27360 28095 29968 33714 35587 37460 44952 56190 59936 67428 71174 74920 84285 89904 106761 112380 134856 142348 149840 168570 177935 179808 213522 224760 269712 284696 299680 320283 337140 355870 427044 449520 533805 539424 569392 640566 674280 711740 854088 899040 1067610 1138784 1281132 1348560 1423480 1601415 1708176 2135220 2562264 2697120 2846960 3202830 3416352 4270440 5124528 5693920 6405660 8540880 10249056 12811320 17081760 25622640 51245280