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99938448 = 2434591307
BaseRepresentation
bin1011111010011…
…11000010010000
320222001101210000
411331033002100
5201041012243
613530010000
72322314511
oct575170220
9228041700
1099938448
115145a265
1229576900
131792179c
14d3b6a08
158b915d3
hex5f4f090

99938448 has 100 divisors (see below), whose sum is σ = 294378480. Its totient is φ = 32723136.

The previous prime is 99938441. The next prime is 99938477. The reversal of 99938448 is 84483999.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 99938394 and 99938403.

It is not an unprimeable number, because it can be changed into a prime (99938441) 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 19 ways as a sum of consecutive naturals, for example, 75811 + ... + 77117.

Almost surely, 299938448 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 99938448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147189240).

99938448 is an abundant number, since it is smaller than the sum of its proper divisors (194440032).

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

99938448 is a wasteful number, since it uses less digits than its factorization.

99938448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1371 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 99938448 is about 9996.9219262731. The cubic root of 99938448 is about 464.0636307900.

The spelling of 99938448 in words is "ninety-nine million, nine hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1062 1296 1307 1416 1593 2124 2614 2832 3186 3921 4248 4779 5228 6372 7842 8496 9558 10456 11763 12744 15684 19116 20912 23526 25488 31368 35289 38232 47052 62736 70578 76464 77113 94104 105867 141156 154226 188208 211734 231339 282312 308452 423468 462678 564624 616904 694017 846936 925356 1233808 1388034 1693872 1850712 2082051 2776068 3701424 4164102 5552136 6246153 8328204 11104272 12492306 16656408 24984612 33312816 49969224 99938448