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85962294 = 232111373169
BaseRepresentation
bin1010001111110…
…10111000110110
312222202100002200
411013322320312
5134001243134
612310245330
72062444635
oct507727066
9188670080
1085962294
1144583820
1224956846
1314a6a182
14b5b951c
157830499
hex51fae36

85962294 has 48 divisors (see below), whose sum is σ = 204731280. Its totient is φ = 25850880.

The previous prime is 85962271. The next prime is 85962299. The reversal of 85962294 is 49226958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85962299) 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, 25542 + ... + 28710.

It is an arithmetic number, because the mean of its divisors is an integer number (4265235).

Almost surely, 285962294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85962294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102365640).

85962294 is an abundant number, since it is smaller than the sum of its proper divisors (118768986).

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

85962294 is a wasteful number, since it uses less digits than its factorization.

85962294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3322 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 85962294 is about 9271.5853013387. The cubic root of 85962294 is about 441.3359773291.

The spelling of 85962294 in words is "eighty-five million, nine hundred sixty-two thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 822 1233 1507 2466 3014 3169 4521 6338 9042 9507 13563 19014 27126 28521 34859 57042 69718 104577 209154 313731 434153 627462 868306 1302459 2604918 3907377 4775683 7814754 9551366 14327049 28654098 42981147 85962294