Search a number
-
+
95351328 = 2532331081
BaseRepresentation
bin1011010111011…
…11001000100000
320122102100102200
411223233020200
5143402220303
613243413200
72235321132
oct553571040
9218370380
1095351328
1149906956
1227b24200
13169a6907
14c941052
1585873a3
hex5aef220

95351328 has 36 divisors (see below), whose sum is σ = 271156158. Its totient is φ = 31783680.

The previous prime is 95351327. The next prime is 95351383. The reversal of 95351328 is 82315359.

It can be written as a sum of positive squares in only one way, i.e., 90098064 + 5253264 = 9492^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95351292 and 95351301.

It is not an unprimeable number, because it can be changed into a prime (95351327) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 165253 + ... + 165828.

Almost surely, 295351328 is an apocalyptic number.

It is an amenable number.

95351328 is an abundant number, since it is smaller than the sum of its proper divisors (175804830).

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

95351328 is a wasteful number, since it uses less digits than its factorization.

95351328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331097 (or 331086 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 95351328 is about 9764.8004587907. The cubic root of 95351328 is about 456.8520541872.

The spelling of 95351328 in words is "ninety-five million, three hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 331081 662162 993243 1324324 1986486 2648648 2979729 3972972 5297296 5959458 7945944 10594592 11918916 15891888 23837832 31783776 47675664 95351328