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99532314 = 2357171721
BaseRepresentation
bin1011110111010…
…11111000011010
320221021202200000
411323223320122
5200440013224
613513153430
72316003450
oct573537032
9227252600
1099532314
1151202112
12293bb876
131780b97b
14d30c9d0
158b110c9
hex5eebe1a

99532314 has 96 divisors (see below), whose sum is σ = 270781056. Its totient is φ = 26749440.

The previous prime is 99532309. The next prime is 99532327. The reversal of 99532314 is 41323599.

It is a happy number.

99532314 is a `hidden beast` number, since 99 + 532 + 31 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56974 + ... + 58694.

It is an arithmetic number, because the mean of its divisors is an integer number (2820636).

Almost surely, 299532314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99532314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528).

99532314 is an abundant number, since it is smaller than the sum of its proper divisors (171248742).

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

99532314 is a wasteful number, since it uses less digits than its factorization.

99532314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1750 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 99532314 is about 9976.5882946025. The cubic root of 99532314 is about 463.4341503209.

The spelling of 99532314 in words is "ninety-nine million, five hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 918 1071 1134 1377 1701 1721 2142 2754 3213 3402 3442 4131 5163 6426 8262 9639 10326 12047 15489 19278 24094 28917 29257 30978 36141 46467 57834 58514 72282 87771 92934 108423 139401 175542 204799 216846 263313 278802 325269 409598 418203 526626 614397 650538 789939 836406 975807 1228794 1579878 1843191 1951614 2369817 2927421 3686382 4739634 5529573 5854842 7109451 11059146 14218902 16588719 33177438 49766157 99532314