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85572288 = 263417971
BaseRepresentation
bin1010001100110…
…11101011000000
312222000112010000
411012123223000
5133401303123
612254040000
72056231614
oct506335300
9188015100
1085572288
11443377aa
12247a9000
13149617b9
14b517344
1577a4b43
hex519bac0

85572288 has 140 divisors (see below), whose sum is σ = 268861032. Its totient is φ = 26818560.

The previous prime is 85572283. The next prime is 85572299. The reversal of 85572288 is 88227558.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (85572283) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87643 + ... + 88613.

Almost surely, 285572288 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 85572288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134430516).

85572288 is an abundant number, since it is smaller than the sum of its proper divisors (183288744).

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

85572288 is a wasteful number, since it uses less digits than its factorization.

85572288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 993 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 85572288 is about 9250.5290659508. The cubic root of 85572288 is about 440.6675267238.

The spelling of 85572288 in words is "eighty-five million, five hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 971 1088 1224 1296 1377 1632 1728 1836 1942 2448 2592 2754 2913 3264 3672 3884 4896 5184 5508 5826 7344 7768 8739 9792 11016 11652 14688 15536 16507 17478 22032 23304 26217 29376 31072 33014 34956 44064 46608 49521 52434 62144 66028 69912 78651 88128 93216 99042 104868 132056 139824 148563 157302 186432 198084 209736 264112 279648 297126 314604 396168 419472 445689 528224 559296 594252 629208 792336 838944 891378 1056448 1188504 1258416 1337067 1584672 1677888 1782756 2377008 2516832 2674134 3169344 3565512 4754016 5033664 5348268 7131024 9508032 10696536 14262048 21393072 28524096 42786144 85572288