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85892394 = 23721971483
BaseRepresentation
bin1010001111010…
…01110100101010
312222121210012210
411013221310222
5133442024034
612304545550
72062034100
oct507516452
9188553183
1085892394
1144536255
12249222b6
1314a44403
14b59bc70
1578198e9
hex51e9d2a

85892394 has 48 divisors (see below), whose sum is σ = 200981088. Its totient is φ = 24399648.

The previous prime is 85892363. The next prime is 85892399. The reversal of 85892394 is 49329858.

It is not an unprimeable number, because it can be changed into a prime (85892399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57177 + ... + 58659.

It is an arithmetic number, because the mean of its divisors is an integer number (4187106).

Almost surely, 285892394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85892394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100490544).

85892394 is an abundant number, since it is smaller than the sum of its proper divisors (115088694).

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

85892394 is a wasteful number, since it uses less digits than its factorization.

85892394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1692 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 85892394 is about 9267.8149528354. The cubic root of 85892394 is about 441.2163211835.

The spelling of 85892394 in words is "eighty-five million, eight hundred ninety-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 197 294 394 591 1182 1379 1483 2758 2966 4137 4449 8274 8898 9653 10381 19306 20762 28959 31143 57918 62286 72667 145334 218001 292151 436002 584302 876453 1752906 2045057 4090114 6135171 12270342 14315399 28630798 42946197 85892394