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53566080 = 2735231213
BaseRepresentation
bin1100110001010…
…1101010000000
310201210102211220
43030111222000
5102203103310
65152035040
71220206221
oct314255200
9121712756
1053566080
1128266a97
1215b32a80
13b136609
147185248
154a81670
hex3315a80

53566080 has 128 divisors (see below), whose sum is σ = 178312320. Its totient is φ = 13651968.

The previous prime is 53566067. The next prime is 53566129. The reversal of 53566080 is 8066535.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43554 + ... + 44766.

It is an arithmetic number, because the mean of its divisors is an integer number (1393065).

Almost surely, 253566080 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 53566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89156160).

53566080 is an abundant number, since it is smaller than the sum of its proper divisors (124746240).

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

53566080 is a wasteful number, since it uses less digits than its factorization.

53566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 53566080 is about 7318.8851610064. The cubic root of 53566080 is about 376.9611744616.

The spelling of 53566080 in words is "fifty-three million, five hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1213 1380 1472 1840 1920 2208 2426 2760 2944 3639 3680 4416 4852 5520 6065 7278 7360 8832 9704 11040 12130 14556 14720 18195 19408 22080 24260 27899 29112 36390 38816 44160 48520 55798 58224 72780 77632 83697 97040 111596 116448 139495 145560 155264 167394 194080 223192 232896 278990 291120 334788 388160 418485 446384 465792 557980 582240 669576 776320 836970 892768 1115960 1164480 1339152 1673940 1785536 2231920 2328960 2678304 3347880 3571072 4463840 5356608 6695760 8927680 10713216 13391520 17855360 26783040 53566080