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85525308 = 22351119421
BaseRepresentation
bin1010001100100…
…00001100111100
312221221010200000
411012100030330
5133343302213
612253034300
72055644631
oct506201474
9187833600
1085525308
1144305480
1224785990
13149462bb
14b504188
157795c73
hex519033c

85525308 has 144 divisors (see below), whose sum is σ = 258061440. Its totient is φ = 24494400.

The previous prime is 85525301. The next prime is 85525309. The reversal of 85525308 is 80352558.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85525301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 202938 + ... + 203358.

Almost surely, 285525308 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 85525308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129030720).

85525308 is an abundant number, since it is smaller than the sum of its proper divisors (172536132).

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

85525308 is a wasteful number, since it uses less digits than its factorization.

85525308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85525308 is about 9247.9894031081. The cubic root of 85525308 is about 440.5868684068.

The spelling of 85525308 in words is "eighty-five million, five hundred twenty-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 243 297 324 342 396 418 421 486 513 594 627 684 836 842 891 972 1026 1188 1254 1263 1539 1684 1782 1881 2052 2508 2526 2673 3078 3564 3762 3789 4617 4631 5052 5346 5643 6156 7524 7578 7999 9234 9262 10692 11286 11367 13893 15156 15998 16929 18468 18524 22572 22734 23997 27786 31996 33858 34101 41679 45468 47994 50787 55572 67716 68202 71991 83358 87989 95988 101574 102303 125037 136404 143982 166716 175978 203148 204606 215973 250074 263967 287964 351956 375111 409212 431946 500148 527934 647919 750222 791901 863892 1055868 1125333 1295838 1500444 1583802 1943757 2250666 2375703 2591676 3167604 3887514 4501332 4751406 7127109 7775028 9502812 14254218 21381327 28508436 42762654 85525308