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99448848 = 2432712137
BaseRepresentation
bin1011110110101…
…11100000010000
320221010112011200
411323113200100
5200424330343
613511311200
72315205222
oct573274020
9227115150
1099448848
1151155434
122937b500
13177ac995
14d2ca412
158ae64d3
hex5ed7810

99448848 has 90 divisors (see below), whose sum is σ = 284354382. Its totient is φ = 32444160.

The previous prime is 99448841. The next prime is 99448871. The reversal of 99448848 is 84884499.

It can be written as a sum of positive squares in only one way, i.e., 87834384 + 11614464 = 9372^2 + 3408^2 .

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 = 99448794 and 99448803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99448841) 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 17 ways as a sum of consecutive naturals, for example, 725836 + ... + 725972.

Almost surely, 299448848 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 99448848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142177191).

99448848 is an abundant number, since it is smaller than the sum of its proper divisors (184905534).

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

99448848 is a wasteful number, since it uses less digits than its factorization.

99448848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 213 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 99448848 is about 9972.4043239331. The cubic root of 99448848 is about 463.3045715919.

The spelling of 99448848 in words is "ninety-nine million, four hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 137 142 144 213 274 284 411 426 548 568 639 822 852 1096 1136 1233 1278 1644 1704 2192 2466 2556 3288 3408 4932 5041 5112 6576 9727 9864 10082 10224 15123 19454 19728 20164 29181 30246 38908 40328 45369 58362 60492 77816 80656 87543 90738 116724 120984 155632 175086 181476 233448 241968 350172 362952 466896 690617 700344 725904 1381234 1400688 2071851 2762468 4143702 5524936 6215553 8287404 11049872 12431106 16574808 24862212 33149616 49724424 99448848