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88280712 = 233313149211
BaseRepresentation
bin1010100001100…
…00111010001000
320011010010101000
411100300322020
5140044440322
612432055000
72121242112
oct520607210
9204103330
1088280712
1145917673
1225694460
131539c510
14ba203b2
157b3c3ac
hex5430e88

88280712 has 128 divisors (see below), whose sum is σ = 267120000. Its totient is φ = 26853120.

The previous prime is 88280681. The next prime is 88280719. The reversal of 88280712 is 21708288.

It is a super-2 number, since 2×882807122 = 15586968222453888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88280719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418287 + ... + 418497.

It is an arithmetic number, because the mean of its divisors is an integer number (2086875).

Almost surely, 288280712 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 88280712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133560000).

88280712 is an abundant number, since it is smaller than the sum of its proper divisors (178839288).

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

88280712 is a wasteful number, since it uses less digits than its factorization.

88280712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 88280712 is about 9395.7816066573. The cubic root of 88280712 is about 445.2684690648.

The spelling of 88280712 in words is "eighty-eight million, two hundred eighty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 149 156 211 216 234 298 312 351 422 447 468 596 633 702 844 894 936 1192 1266 1341 1404 1688 1788 1899 1937 2532 2682 2743 2808 3576 3798 3874 4023 5064 5364 5486 5697 5811 7596 7748 8046 8229 10728 10972 11394 11622 15192 15496 16092 16458 17433 21944 22788 23244 24687 31439 32184 32916 34866 45576 46488 49374 52299 62878 65832 69732 74061 94317 98748 104598 125756 139464 148122 188634 197496 209196 251512 282951 296244 377268 408707 418392 565902 592488 754536 817414 848853 1131804 1226121 1634828 1697706 2263608 2452242 3269656 3395412 3678363 4904484 6790824 7356726 9808968 11035089 14713452 22070178 29426904 44140356 88280712