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85253400 = 23325247363
BaseRepresentation
bin1010001010011…
…01110100011000
312221102022200100
411011031310120
5133311102100
612243135400
72053433121
oct505156430
9187368610
1085253400
114413a161
1224674560
131487c5cb
14b473048
157740400
hex514dd18

85253400 has 72 divisors (see below), whose sum is σ = 286315380. Its totient is φ = 22733760.

The previous prime is 85253381. The next prime is 85253459. The reversal of 85253400 is 435258.

85253400 is a `hidden beast` number, since 8 + 5 + 253 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a house number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21882 + ... + 25481.

Almost surely, 285253400 is an apocalyptic number.

It is an amenable number.

85253400 is an abundant number, since it is smaller than the sum of its proper divisors (201061980).

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

85253400 is a wasteful number, since it uses less digits than its factorization.

85253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47385 (or 47373 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 85253400 is about 9233.2767747967. The cubic root of 85253400 is about 440.1194579229.

Adding to 85253400 its reverse (435258), we get a palindrome (85688658).

The spelling of 85253400 in words is "eighty-five million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 47363 94726 142089 189452 236815 284178 378904 426267 473630 568356 710445 852534 947260 1136712 1184075 1420890 1705068 1894520 2131335 2368150 2841780 3410136 3552225 4262670 4736300 5683560 7104450 8525340 9472600 10656675 14208900 17050680 21313350 28417800 42626700 85253400