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85367250 = 2335312647
BaseRepresentation
bin1010001011010…
…01100111010010
312221122002212000
411011221213102
5133323223000
612245414430
72054416053
oct505514722
9187562760
1085367250
1144207751
122470a416
13148bc387
14b4a272a
157764000
hex51699d2

85367250 has 64 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 22762800.

The previous prime is 85367231. The next prime is 85367263. The reversal of 85367250 is 5276358.

85367250 is a `hidden beast` number, since 8 + 536 + 72 + 50 = 666.

It is a nialpdrome in base 15.

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 31 ways as a sum of consecutive naturals, for example, 427 + ... + 13073.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 285367250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85367250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

85367250 is an abundant number, since it is smaller than the sum of its proper divisors (151403310).

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

85367250 is a wasteful number, since it uses less digits than its factorization.

85367250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85367250 is about 9239.4399180903. The cubic root of 85367250 is about 440.3152871088.

The spelling of 85367250 in words is "eighty-five million, three hundred sixty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 1125 1350 2250 3375 6750 12647 25294 37941 63235 75882 113823 126470 189705 227646 316175 341469 379410 569115 632350 682938 948525 1138230 1580875 1707345 1897050 2845575 3161750 3414690 4742625 5691150 8536725 9485250 14227875 17073450 28455750 42683625 85367250