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85247760 = 24351389307
BaseRepresentation
bin1010001010011…
…00011100010000
312221102000221110
411011030130100
5133310412020
612243053320
72053410513
oct505143420
9187360843
1085247760
11441359a4
1224671240
1314879b80
14b470d7a
15773d8e0
hex514c710

85247760 has 160 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 20680704.

The previous prime is 85247759. The next prime is 85247777. The reversal of 85247760 is 6774258.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 277527 + ... + 277833.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 285247760 is an apocalyptic number.

85247760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85247760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

85247760 is an abundant number, since it is smaller than the sum of its proper divisors (203483760).

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

85247760 is a wasteful number, since it uses less digits than its factorization.

85247760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 85247760 is about 9232.9713527120. The cubic root of 85247760 is about 440.1097522358.

The spelling of 85247760 in words is "eighty-five million, two hundred forty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 89 104 120 130 156 178 195 208 240 260 267 307 312 356 390 445 520 534 614 624 712 780 890 921 1040 1068 1157 1228 1335 1424 1535 1560 1780 1842 2136 2314 2456 2670 3070 3120 3471 3560 3684 3991 4272 4605 4628 4912 5340 5785 6140 6942 7120 7368 7982 9210 9256 10680 11570 11973 12280 13884 14736 15964 17355 18420 18512 19955 21360 23140 23946 24560 27323 27768 31928 34710 36840 39910 46280 47892 54646 55536 59865 63856 69420 73680 79820 81969 92560 95784 109292 119730 136615 138840 159640 163938 191568 218584 239460 273230 277680 319280 327876 355199 409845 437168 478920 546460 655752 710398 819690 957840 1065597 1092920 1311504 1420796 1639380 1775995 2131194 2185840 2841592 3278760 3551990 4262388 5327985 5683184 6557520 7103980 8524776 10655970 14207960 17049552 21311940 28415920 42623880 85247760