Search a number
-
+
95141928 = 23372174759
BaseRepresentation
bin1011010101111…
…00000000101000
320122000201012010
411222330000220
5143324020203
613235115520
72233456500
oct552740050
9218021163
1095141928
11497835a2
1227a42ba0
13169324cb
14c8c8a00
158545303
hex5abc028

95141928 has 96 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 25579008.

The previous prime is 95141927. The next prime is 95141951. The reversal of 95141928 is 82914159.

It is a super-3 number, since 3×951419283 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (95141927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17613 + ... + 22371.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 295141928 is an apocalyptic number.

95141928 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95141928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

95141928 is an abundant number, since it is smaller than the sum of its proper divisors (197883672).

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

95141928 is a wasteful number, since it uses less digits than its factorization.

95141928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4788 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 95141928 is about 9754.0723802933. The cubic root of 95141928 is about 456.5173798231.

It can be divided in two parts, 95141 and 928, that added together give a palindrome (96069).

The spelling of 95141928 in words is "ninety-five million, one hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4759 4998 6664 9518 9996 14277 19036 19992 28554 33313 38072 57108 66626 80903 99939 114216 133252 161806 199878 233191 242709 266504 323612 399756 466382 485418 566321 647224 699573 799512 932764 970836 1132642 1399146 1698963 1865528 1941672 2265284 2798292 3397926 3964247 4530568 5596584 6795852 7928494 11892741 13591704 15856988 23785482 31713976 47570964 95141928