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52638960 = 243511127157
BaseRepresentation
bin1100100011001…
…1010011110000
310200001100002010
43020303103300
5101433421320
65120122520
71206265233
oct310632360
9120040063
1052638960
1127793480
1215766440
13aba061a
146dc341a
15494bae0
hex32334f0

52638960 has 160 divisors (see below), whose sum is σ = 180559872. Its totient is φ = 12579840.

The previous prime is 52638959. The next prime is 52638977. The reversal of 52638960 is 6983625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335202 + ... + 335358.

Almost surely, 252638960 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 52638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90279936).

52638960 is an abundant number, since it is smaller than the sum of its proper divisors (127920912).

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

52638960 is a wasteful number, since it uses less digits than its factorization.

52638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 52638960 is about 7255.2711872128. The cubic root of 52638960 is about 374.7736945675.

The spelling of 52638960 in words is "fifty-two million, six hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 127 132 157 165 176 220 240 254 264 314 330 381 440 471 508 528 628 635 660 762 785 880 942 1016 1256 1270 1320 1397 1524 1570 1727 1884 1905 2032 2355 2512 2540 2640 2794 3048 3140 3454 3768 3810 4191 4710 5080 5181 5588 6096 6280 6908 6985 7536 7620 8382 8635 9420 10160 10362 11176 12560 13816 13970 15240 16764 17270 18840 19939 20724 20955 22352 25905 27632 27940 30480 33528 34540 37680 39878 41448 41910 51810 55880 59817 67056 69080 79756 82896 83820 99695 103620 111760 119634 138160 159512 167640 199390 207240 219329 239268 299085 319024 335280 398780 414480 438658 478536 598170 657987 797560 877316 957072 1096645 1196340 1315974 1595120 1754632 2193290 2392680 2631948 3289935 3509264 4386580 4785360 5263896 6579870 8773160 10527792 13159740 17546320 26319480 52638960