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85241200 = 24521119373
BaseRepresentation
bin1010001010010…
…10110101110000
312221101200221111
411011022311300
5133310204300
612243003104
72053352422
oct505126560
9187350844
1085241200
1144130a80
1224669494
1314876ba5
14b46c812
15773b9ba
hex514ad70

85241200 has 60 divisors (see below), whose sum is σ = 223420968. Its totient is φ = 30995200.

The previous prime is 85241171. The next prime is 85241203. The reversal of 85241200 is 214258.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85241203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5287 + ... + 14086.

Almost surely, 285241200 is an apocalyptic number.

85241200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85241200 is an abundant number, since it is smaller than the sum of its proper divisors (138179768).

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

85241200 is a wasteful number, since it uses less digits than its factorization.

85241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19402 (or 19391 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 85241200 is about 9232.6160972933. The cubic root of 85241200 is about 440.0984628129.

Adding to 85241200 its reverse (214258), we get a palindrome (85455458).

The spelling of 85241200 in words is "eighty-five million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 19373 38746 77492 96865 154984 193730 213103 309968 387460 426206 484325 774920 852412 968650 1065515 1549840 1704824 1937300 2131030 3409648 3874600 4262060 5327575 7749200 8524120 10655150 17048240 21310300 42620600 85241200