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95253824 = 2631411171
BaseRepresentation
bin1011010110101…
…11010101000000
320122020101200102
411223113111000
5143341110244
613241341532
72234433641
oct553272500
9218211612
1095253824
114984a676
1227a978a8
1316971413
14c9176c8
15856854e
hex5ad7540

95253824 has 56 divisors (see below), whose sum is σ = 200046336. Its totient is φ = 44928000.

The previous prime is 95253817. The next prime is 95253827. The reversal of 95253824 is 42835259.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95253827) 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 7 ways as a sum of consecutive naturals, for example, 80759 + ... + 81929.

It is an arithmetic number, because the mean of its divisors is an integer number (3572256).

Almost surely, 295253824 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 95253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100023168).

95253824 is an abundant number, since it is smaller than the sum of its proper divisors (104792512).

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

95253824 is a wasteful number, since it uses less digits than its factorization.

95253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1245 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 95253824 is about 9759.8065554600. The cubic root of 95253824 is about 456.6962790632.

The spelling of 95253824 in words is "ninety-five million, two hundred fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1171 1271 1312 1984 2342 2542 2624 4684 5084 9368 10168 18736 20336 36301 37472 40672 48011 72602 74944 81344 96022 145204 192044 290408 384088 580816 768176 1161632 1488341 1536352 2323264 2976682 3072704 5953364 11906728 23813456 47626912 95253824