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99468648 = 2335192693
BaseRepresentation
bin1011110110111…
…00010101101000
320221011112100000
411323130111220
5200430444043
613511543000
72315320026
oct573342550
9227145300
1099468648
11511692a4
122938aa60
13177b89b6
14d2d3716
158aec2d3
hex5edc568

99468648 has 96 divisors (see below), whose sum is σ = 294184800. Its totient is φ = 31399488.

The previous prime is 99468647. The next prime is 99468659. The reversal of 99468648 is 84686499.

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 = 99468594 and 99468603.

It is not an unprimeable number, because it can be changed into a prime (99468641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35590 + ... + 38282.

It is an arithmetic number, because the mean of its divisors is an integer number (3064425).

Almost surely, 299468648 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 99468648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147092400).

99468648 is an abundant number, since it is smaller than the sum of its proper divisors (194716152).

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

99468648 is a wasteful number, since it uses less digits than its factorization.

99468648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2717 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 99468648 is about 9973.3970140569. The cubic root of 99468648 is about 463.3353171191.

The spelling of 99468648 in words is "ninety-nine million, four hundred sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 2693 3078 4104 4617 5386 6156 8079 9234 10772 12312 16158 18468 21544 24237 32316 36936 48474 51167 64632 72711 96948 102334 145422 153501 193896 204668 218133 290844 307002 409336 436266 460503 581688 614004 654399 872532 921006 1228008 1308798 1381509 1745064 1842012 2617596 2763018 3684024 4144527 5235192 5526036 8289054 11052072 12433581 16578108 24867162 33156216 49734324 99468648