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85192650 = 23252312197
BaseRepresentation
bin1010001001111…
…10111111001010
312221022020100100
411010332333022
5133302131100
612241550230
72053061034
oct504767712
9187266310
1085192650
11440a8554
1224645376
131485aa6a
14b458c54
15772c400
hex513efca

85192650 has 108 divisors (see below), whose sum is σ = 237706326. Its totient is φ = 21873600.

The previous prime is 85192643. The next prime is 85192697. The reversal of 85192650 is 5629158.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 81378441 + 3814209 = 9021^2 + 1953^2 .

It is a super-2 number, since 2×851926502 = 14515575228045000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 432352 + ... + 432548.

Almost surely, 285192650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85192650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118853163).

85192650 is an abundant number, since it is smaller than the sum of its proper divisors (152513676).

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

85192650 is a wasteful number, since it uses less digits than its factorization.

85192650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85192650 is about 9229.9864571948. The cubic root of 85192650 is about 440.0148927466.

The spelling of 85192650 in words is "eighty-five million, one hundred ninety-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 197 225 279 310 394 450 465 558 591 775 930 961 985 1182 1395 1550 1773 1922 1970 2325 2790 2883 2955 3546 4650 4805 4925 5766 5910 6107 6975 8649 8865 9610 9850 12214 13950 14415 14775 17298 17730 18321 24025 28830 29550 30535 36642 43245 44325 48050 54963 61070 72075 86490 88650 91605 109926 144150 152675 183210 189317 216225 274815 305350 378634 432450 458025 549630 567951 916050 946585 1135902 1374075 1703853 1893170 2748150 2839755 3407706 4732925 5679510 8519265 9465850 14198775 17038530 28397550 42596325 85192650