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99415242 = 2334183541
BaseRepresentation
bin1011110110011…
…11010011001010
320221001211002000
411323033103022
5200422241432
613510451430
72315005233
oct573172312
9227054060
1099415242
1151132163
1229363b76
131779a5b4
14d2bc08a
158adb57c
hex5ecf4ca

99415242 has 64 divisors (see below), whose sum is σ = 229461120. Its totient is φ = 31881600.

The previous prime is 99415237. The next prime is 99415249. The reversal of 99415242 is 24251499.

99415242 is a `hidden beast` number, since 99 + 41 + 524 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 99415197 and 99415206.

It is not an unprimeable number, because it can be changed into a prime (99415249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183492 + ... + 184032.

It is an arithmetic number, because the mean of its divisors is an integer number (3585330).

Almost surely, 299415242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99415242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114730560).

99415242 is an abundant number, since it is smaller than the sum of its proper divisors (130045878).

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

99415242 is a wasteful number, since it uses less digits than its factorization.

99415242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 99415242 is about 9970.7192318308. The cubic root of 99415242 is about 463.2523787046.

The spelling of 99415242 in words is "ninety-nine million, four hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 83 123 166 246 249 369 498 541 738 747 1082 1107 1494 1623 2214 2241 3246 3403 4482 4869 6806 9738 10209 14607 20418 22181 29214 30627 44362 44903 61254 66543 89806 91881 133086 134709 183762 199629 269418 399258 404127 598887 808254 1197774 1212381 1841023 2424762 3682046 5523069 11046138 16569207 33138414 49707621 99415242