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99682848 = 2532893889
BaseRepresentation
bin1011111000100…
…00101000100000
320221120102011100
411330100220200
5201004322343
613520314400
72320201356
oct574205040
9227512140
1099682848
11512a5221
1229472a00
1317862345
14d34b7d6
158b409d3
hex5f10a20

99682848 has 72 divisors (see below), whose sum is σ = 286731900. Its totient is φ = 32845824.

The previous prime is 99682841. The next prime is 99682853. The reversal of 99682848 is 84828699.

It can be written as a sum of positive squares in 2 ways, for example, as 99440784 + 242064 = 9972^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×996828482 = 19873340370782208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 99682794 and 99682803.

It is not an unprimeable number, because it can be changed into a prime (99682841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23688 + ... + 27576.

Almost surely, 299682848 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 99682848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143365950).

99682848 is an abundant number, since it is smaller than the sum of its proper divisors (187049052).

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

99682848 is a wasteful number, since it uses less digits than its factorization.

99682848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3983 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 99682848 is about 9984.1298068485. The cubic root of 99682848 is about 463.6676673003.

The spelling of 99682848 in words is "ninety-nine million, six hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 3889 4272 6408 7778 8544 11667 12816 15556 23334 25632 31112 35001 46668 62224 70002 93336 124448 140004 186672 280008 346121 373344 560016 692242 1038363 1120032 1384484 2076726 2768968 3115089 4153452 5537936 6230178 8306904 11075872 12460356 16613808 24920712 33227616 49841424 99682848