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95200 = 2552717
BaseRepresentation
bin10111001111100000
311211120221
4113033200
511021300
62012424
7544360
oct271740
9154527
1095200
1165586
1247114
1334441
14269a0
151d31a
hex173e0

95200 has 72 divisors (see below), whose sum is σ = 281232. Its totient is φ = 30720.

The previous prime is 95191. The next prime is 95203. The reversal of 95200 is 259.

95200 = T8 + T9 + ... + T82.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95203) 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, 5592 + ... + 5608.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

295200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616).

95200 is an abundant number, since it is smaller than the sum of its proper divisors (186032).

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

95200 is a wasteful number, since it uses less digits than its factorization.

95200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 95200 is about 308.5449724108. The cubic root of 95200 is about 45.6610242791.

Adding to 95200 its reverse (259), we get a palindrome (95459).

The spelling of 95200 in words is "ninety-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 340 350 400 425 476 544 560 595 680 700 800 850 952 1120 1190 1360 1400 1700 1904 2380 2720 2800 2975 3400 3808 4760 5600 5950 6800 9520 11900 13600 19040 23800 47600 95200