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99763072 = 2717192127
BaseRepresentation
bin1011111001001…
…00001110000000
320221201111012121
411330210032000
5201014404242
613522134024
72320654303
oct574441600
9227644177
1099763072
115134a522
12294b1314
131788ca06
14d36cb3a
158b59667
hex5f24380

99763072 has 96 divisors (see below), whose sum is σ = 223845120. Its totient is φ = 44126208.

The previous prime is 99763061. The next prime is 99763087. The reversal of 99763072 is 27036799.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 785473 + ... + 785599.

It is an arithmetic number, because the mean of its divisors is an integer number (2331720).

Almost surely, 299763072 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 99763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111922560).

99763072 is an abundant number, since it is smaller than the sum of its proper divisors (124082048).

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

99763072 is a wasteful number, since it uses less digits than its factorization.

99763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The square root of 99763072 is about 9988.1465748156. The cubic root of 99763072 is about 463.7920193543.

The spelling of 99763072 in words is "ninety-nine million, seven hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 127 128 136 152 254 272 304 323 361 508 544 608 646 722 1016 1088 1216 1292 1444 2032 2159 2176 2413 2432 2584 2888 4064 4318 4826 5168 5776 6137 8128 8636 9652 10336 11552 12274 16256 17272 19304 20672 23104 24548 34544 38608 41021 41344 45847 46208 49096 69088 77216 82042 91694 98192 138176 154432 164084 183388 196384 276352 308864 328168 366776 392768 656336 733552 779399 785536 1312672 1467104 1558798 2625344 2934208 3117596 5250688 5868416 6235192 12470384 24940768 49881536 99763072