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52286080 = 2757111061
BaseRepresentation
bin1100011101110…
…1001010000000
310122101102000111
43013131022000
5101341123310
65104401104
71203265360
oct307351200
9118342014
1052286080
1127572340
1215616194
13aaa8b12
146d309a0
1548cc28a
hex31dd280

52286080 has 128 divisors (see below), whose sum is σ = 155986560. Its totient is φ = 16281600.

The previous prime is 52286051. The next prime is 52286093. The reversal of 52286080 is 8068225.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 48750 + ... + 49810.

It is an arithmetic number, because the mean of its divisors is an integer number (1218645).

Almost surely, 252286080 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 52286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77993280).

52286080 is an abundant number, since it is smaller than the sum of its proper divisors (103700480).

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

52286080 is a wasteful number, since it uses less digits than its factorization.

52286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 52286080 is about 7230.9114224972. The cubic root of 52286080 is about 373.9343493867.

The spelling of 52286080 in words is "fifty-two million, two hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1061 1120 1232 1408 1540 1760 2122 2240 2464 3080 3520 4244 4480 4928 5305 6160 7040 7427 8488 9856 10610 11671 12320 14854 16976 21220 23342 24640 29708 33952 37135 42440 46684 49280 58355 59416 67904 74270 81697 84880 93368 116710 118832 135808 148540 163394 169760 186736 233420 237664 297080 326788 339520 373472 408485 466840 475328 594160 653576 679040 746944 816970 933680 950656 1188320 1307152 1493888 1633940 1867360 2376640 2614304 3267880 3734720 4753280 5228608 6535760 7469440 10457216 13071520 26143040 52286080