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99881728 = 281013863
BaseRepresentation
bin1011111010000…
…01001100000000
320221221111222021
411331001030000
5201032203403
613524451224
72321660242
oct575011400
9227844867
1099881728
1151420691
1229549b14
1317901a1b
14d3a0092
158b7e8bd
hex5f41300

99881728 has 36 divisors (see below), whose sum is σ = 201399408. Its totient is φ = 49433600.

The previous prime is 99881711. The next prime is 99881729. The reversal of 99881728 is 82718899.

It is not an unprimeable number, because it can be changed into a prime (99881729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23925 + ... + 27787.

It is an arithmetic number, because the mean of its divisors is an integer number (5594428).

Almost surely, 299881728 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 99881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699704).

99881728 is an abundant number, since it is smaller than the sum of its proper divisors (101517680).

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

99881728 is a wasteful number, since it uses less digits than its factorization.

99881728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3966 counting only the distinct ones).

The product of its digits is 580608, while the sum is 52.

The square root of 99881728 is about 9994.0846504320. The cubic root of 99881728 is about 463.9758211737.

The spelling of 99881728 in words is "ninety-nine million, eight hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 3863 6464 7726 12928 15452 25856 30904 61808 123616 247232 390163 494464 780326 988928 1560652 3121304 6242608 12485216 24970432 49940864 99881728