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95221008 = 2435191289
BaseRepresentation
bin1011010110011…
…11010100010000
320122011201200000
411223033110100
5143334033013
613240530000
72234236161
oct553172420
9218151600
1095221008
1149827a53
1227a80900
131695c4bc
14c909768
15855d973
hex5acf510

95221008 has 120 divisors (see below), whose sum is σ = 291127200. Its totient is φ = 30046464.

The previous prime is 95221001. The next prime is 95221033. The reversal of 95221008 is 80012259.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (95221001) 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 23 ways as a sum of consecutive naturals, for example, 73228 + ... + 74516.

It is an arithmetic number, because the mean of its divisors is an integer number (2426060).

Almost surely, 295221008 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 95221008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145563600).

95221008 is an abundant number, since it is smaller than the sum of its proper divisors (195906192).

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

95221008 is a wasteful number, since it uses less digits than its factorization.

95221008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 95221008 is about 9758.1252297765. The cubic root of 95221008 is about 456.6438273930.

The spelling of 95221008 in words is "ninety-five million, two hundred twenty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1289 1296 1368 1539 1944 2052 2578 2736 3078 3867 3888 4104 4617 5156 6156 7734 8208 9234 10312 11601 12312 15468 18468 20624 23202 24491 24624 30936 34803 36936 46404 48982 61872 69606 73473 73872 92808 97964 104409 139212 146946 185616 195928 208818 220419 278424 293892 313227 391856 417636 440838 556848 587784 626454 661257 835272 881676 1175568 1252908 1322514 1670544 1763352 1983771 2505816 2645028 3526704 3967542 5011632 5290056 5951313 7935084 10580112 11902626 15870168 23805252 31740336 47610504 95221008