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95550 = 23527213
BaseRepresentation
bin10111010100111110
311212001220
4113110332
511024200
62014210
7545400
oct272476
9155056
1095550
1165874
1247366
1334650
1426b70
151d4a0
hex1753e

95550 has 72 divisors (see below), whose sum is σ = 296856. Its totient is φ = 20160.

The previous prime is 95549. The next prime is 95561. The reversal of 95550 is 5559.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 95550.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95550.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7344 + ... + 7356.

It is an arithmetic number, because the mean of its divisors is an integer number (4123).

295550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

95550 is an abundant number, since it is smaller than the sum of its proper divisors (201306).

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

95550 is a wasteful number, since it uses less digits than its factorization.

95550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 95550 is about 309.1116303215. Note that the first 3 decimals coincide. The cubic root of 95550 is about 45.7169129814.

The spelling of 95550 in words is "ninety-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 49 50 65 70 75 78 91 98 105 130 147 150 175 182 195 210 245 273 294 325 350 390 455 490 525 546 637 650 735 910 975 1050 1225 1274 1365 1470 1911 1950 2275 2450 2730 3185 3675 3822 4550 6370 6825 7350 9555 13650 15925 19110 31850 47775 95550