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85827900 = 223521716829
BaseRepresentation
bin1010001110110…
…10000100111100
312222111111202010
411013122010330
5133432443100
612303331220
72061345054
oct507320474
9188444663
1085827900
11444a1854
12248b0b10
1314a20c52
14b582564
157805750
hex51da13c

85827900 has 72 divisors (see below), whose sum is σ = 262951920. Its totient is φ = 21539840.

The previous prime is 85827899. The next prime is 85827919. The reversal of 85827900 is 972858.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3315 + ... + 13514.

It is an arithmetic number, because the mean of its divisors is an integer number (3652110).

Almost surely, 285827900 is an apocalyptic number.

It is an amenable number.

85827900 is an abundant number, since it is smaller than the sum of its proper divisors (177124020).

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

85827900 is a wasteful number, since it uses less digits than its factorization.

85827900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16863 (or 16856 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 85827900 is about 9264.3348385084. The cubic root of 85827900 is about 441.1058615364.

The spelling of 85827900 in words is "eighty-five million, eight hundred twenty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 16829 33658 50487 67316 84145 100974 168290 201948 252435 286093 336580 420725 504870 572186 841450 858279 1009740 1144372 1262175 1430465 1682900 1716558 2524350 2860930 3433116 4291395 5048700 5721860 7152325 8582790 14304650 17165580 21456975 28609300 42913950 85827900