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99744768 = 2103279137
BaseRepresentation
bin1011111000111…
…11110000000000
320221200120002200
411330133300000
5201013313033
613521513200
72320550034
oct574376000
9227616080
1099744768
11513377a2
12294a2800
1317884596
14d3661c4
158b54013
hex5f1fc00

99744768 has 132 divisors (see below), whose sum is σ = 293785440. Its totient is φ = 32587776.

The previous prime is 99744731. The next prime is 99744773. The reversal of 99744768 is 86744799.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 727996 + ... + 728132.

Almost surely, 299744768 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 99744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146892720).

99744768 is an abundant number, since it is smaller than the sum of its proper divisors (194040672).

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

99744768 is a wasteful number, since it uses less digits than its factorization.

99744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 99744768 is about 9987.2302466700. The cubic root of 99744768 is about 463.7636529184.

The spelling of 99744768 in words is "ninety-nine million, seven hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 137 144 158 192 237 256 274 288 316 384 411 474 512 548 576 632 711 768 822 948 1024 1096 1152 1233 1264 1422 1536 1644 1896 2192 2304 2466 2528 2844 3072 3288 3792 4384 4608 4932 5056 5688 6576 7584 8768 9216 9864 10112 10823 11376 13152 15168 17536 19728 20224 21646 22752 26304 30336 32469 35072 39456 40448 43292 45504 52608 60672 64938 70144 78912 80896 86584 91008 97407 105216 121344 129876 140288 157824 173168 182016 194814 210432 242688 259752 315648 346336 364032 389628 420864 519504 631296 692672 728064 779256 1039008 1262592 1385344 1558512 2078016 2770688 3117024 4156032 5541376 6234048 8312064 11082752 12468096 16624128 24936192 33248256 49872384 99744768