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52258560 = 283531439
BaseRepresentation
bin1100011101011…
…0011100000000
310122100000021020
43013112130000
5101334233220
65104025440
71203122214
oct307263400
9118300236
1052258560
11275536a2
1215602280
13aa99433
146d24944
1548c4040
hex31d6700

52258560 has 144 divisors (see below), whose sum is σ = 172677120. Its totient is φ = 13455360.

The previous prime is 52258523. The next prime is 52258567. The reversal of 52258560 is 6585225.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52258567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118821 + ... + 119259.

Almost surely, 252258560 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 52258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86338560).

52258560 is an abundant number, since it is smaller than the sum of its proper divisors (120418560).

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

52258560 is a wasteful number, since it uses less digits than its factorization.

52258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 52258560 is about 7229.0082307326. The cubic root of 52258560 is about 373.8687329469.

The spelling of 52258560 in words is "fifty-two million, two hundred fifty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 439 465 480 496 620 640 744 768 878 930 960 992 1240 1280 1317 1488 1756 1860 1920 1984 2195 2480 2634 2976 3512 3720 3840 3968 4390 4960 5268 5952 6585 7024 7440 7936 8780 9920 10536 11904 13170 13609 14048 14880 17560 19840 21072 23808 26340 27218 28096 29760 35120 39680 40827 42144 52680 54436 56192 59520 68045 70240 81654 84288 105360 108872 112384 119040 136090 140480 163308 168576 204135 210720 217744 272180 280960 326616 337152 408270 421440 435488 544360 561920 653232 816540 842880 870976 1088720 1306464 1633080 1685760 1741952 2177440 2612928 3266160 3483904 4354880 5225856 6532320 8709760 10451712 13064640 17419520 26129280 52258560