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95129532 = 22331098081
BaseRepresentation
bin1011010101110…
…00111110111100
320122000002012000
411222320332330
5143323121112
613234542300
72233405401
oct552707674
9218002160
1095129532
1149775253
1227a37990
1316929984
14c8c42a8
1585417dc
hex5ab8fbc

95129532 has 48 divisors (see below), whose sum is σ = 248925600. Its totient is φ = 31415040.

The previous prime is 95129521. The next prime is 95129539. The reversal of 95129532 is 23592159.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95129539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7732 + ... + 15812.

It is an arithmetic number, because the mean of its divisors is an integer number (5185950).

Almost surely, 295129532 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 95129532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124462800).

95129532 is an abundant number, since it is smaller than the sum of its proper divisors (153796068).

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

95129532 is a wasteful number, since it uses less digits than its factorization.

95129532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203 (or 8195 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 95129532 is about 9753.4369326920. The cubic root of 95129532 is about 456.4975524790.

It can be divided in two parts, 9512 and 9532, that added together give a square (19044 = 1382).

The spelling of 95129532 in words is "ninety-five million, one hundred twenty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 8081 11772 16162 24243 32324 48486 72729 96972 145458 218187 290916 436374 872748 880829 1761658 2642487 3523316 5284974 7927461 10569948 15854922 23782383 31709844 47564766 95129532