Search a number
-
+
95529126 = 237211109271
BaseRepresentation
bin1011011000110…
…10100010100110
320122202101022210
411230122202212
5143423413001
613251304250
72236661400
oct554324246
9218671283
1095529126
1149a184a0
1227bab086
1316a39814
14c989b70
1585bedd6
hex5b1a8a6

95529126 has 96 divisors (see below), whose sum is σ = 245583360. Its totient is φ = 24494400.

The previous prime is 95529107. The next prime is 95529127. The reversal of 95529126 is 62192559.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95529127) 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 47 ways as a sum of consecutive naturals, for example, 352371 + ... + 352641.

It is an arithmetic number, because the mean of its divisors is an integer number (2558160).

Almost surely, 295529126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95529126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122791680).

95529126 is an abundant number, since it is smaller than the sum of its proper divisors (150054234).

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

95529126 is a wasteful number, since it uses less digits than its factorization.

95529126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 95529126 is about 9773.9002450404. The cubic root of 95529126 is about 457.1358360994.

The spelling of 95529126 in words is "ninety-five million, five hundred twenty-nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 109 147 154 218 231 271 294 327 462 539 542 654 763 813 1078 1199 1526 1617 1626 1897 2289 2398 2981 3234 3597 3794 4578 5341 5691 5962 7194 8393 8943 10682 11382 13279 16023 16786 17886 20867 25179 26558 29539 32046 39837 41734 50358 58751 59078 62601 79674 88617 117502 125202 146069 176253 177234 206773 292138 324929 352506 413546 438207 620319 649858 876414 974787 1240638 1447411 1949574 2274503 2894822 4342233 4549006 6823509 8684466 13647018 15921521 31843042 47764563 95529126