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95424224 = 257439907
BaseRepresentation
bin1011011000000…
…00111011100000
320122120001102112
411230000323200
5143412033344
613245134452
72236043510
oct554007340
9218501375
1095424224
11499566a5
1227b5a428
1316a00b4c
14c95d840
15859dc9e
hex5b00ee0

95424224 has 48 divisors (see below), whose sum is σ = 219719808. Its totient is φ = 39940992.

The previous prime is 95424211. The next prime is 95424229. The reversal of 95424224 is 42242459.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95424229) 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 7 ways as a sum of consecutive naturals, for example, 4679 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (4577496).

Almost surely, 295424224 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 95424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109859904).

95424224 is an abundant number, since it is smaller than the sum of its proper divisors (124295584).

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

95424224 is a wasteful number, since it uses less digits than its factorization.

95424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967 (or 9959 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 95424224 is about 9768.5323360267. The cubic root of 95424224 is about 456.9684455196.

The spelling of 95424224 in words is "ninety-five million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 9907 19814 39628 69349 79256 138698 158512 277396 317024 426001 554792 852002 1109584 1704004 2219168 2982007 3408008 5964014 6816016 11928028 13632032 23856056 47712112 95424224