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99942048 = 253217137149
BaseRepresentation
bin1011111010011…
…11111010100000
320222001120201100
411331033322200
5201041121143
613530034400
72322331143
oct575177240
9228046640
1099942048
1151461a38
1229578a00
131792330b
14d3b805a
158b926d3
hex5f4fea0

99942048 has 144 divisors (see below), whose sum is σ = 305159400. Its totient is φ = 30916608.

The previous prime is 99942023. The next prime is 99942053. The reversal of 99942048 is 84024999.

It can be written as a sum of positive squares in 4 ways, for example, as 83393424 + 16548624 = 9132^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 99941994 and 99942012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670678 + ... + 670826.

Almost surely, 299942048 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 99942048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152579700).

99942048 is an abundant number, since it is smaller than the sum of its proper divisors (205217352).

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

99942048 is a wasteful number, since it uses less digits than its factorization.

99942048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 99942048 is about 9997.1019800740. The cubic root of 99942048 is about 464.0692029165.

The spelling of 99942048 in words is "ninety-nine million, nine hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 137 144 149 153 204 272 274 288 298 306 408 411 447 544 548 596 612 816 822 894 1096 1192 1224 1233 1341 1632 1644 1788 2192 2329 2384 2448 2466 2533 2682 3288 3576 4384 4658 4768 4896 4932 5066 5364 6576 6987 7152 7599 9316 9864 10132 10728 13152 13974 14304 15198 18632 19728 20264 20413 20961 21456 22797 27948 30396 37264 39456 40528 40826 41922 42912 45594 55896 60792 61239 74528 81056 81652 83844 91188 111792 121584 122478 163304 167688 182376 183717 223584 243168 244956 326608 335376 347021 364752 367434 489912 653216 670752 694042 729504 734868 979824 1041063 1388084 1469736 1959648 2082126 2776168 2939472 3123189 4164252 5552336 5878944 6246378 8328504 11104672 12492756 16657008 24985512 33314016 49971024 99942048