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99530784 = 25321729701
BaseRepresentation
bin1011110111010…
…11100000100000
320221021200120100
411323223200200
5200434441114
613513142400
72315666133
oct573534040
9227250510
1099530784
1151200a51
12293baa00
131780b072
14d30c21a
158b10909
hex5eeb820

99530784 has 144 divisors (see below), whose sum is σ = 310466520. Its totient is φ = 30105600.

The previous prime is 99530771. The next prime is 99530791. The reversal of 99530784 is 48703599.

It can be written as a sum of positive squares in 4 ways, for example, as 99440784 + 90000 = 9972^2 + 300^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 141634 + ... + 142334.

Almost surely, 299530784 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 99530784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155233260).

99530784 is an abundant number, since it is smaller than the sum of its proper divisors (210935736).

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

99530784 is a wasteful number, since it uses less digits than its factorization.

99530784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 99530784 is about 9976.5116147880. The cubic root of 99530784 is about 463.4317756888.

The spelling of 99530784 in words is "ninety-nine million, five hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 701 816 928 986 1044 1224 1392 1402 1479 1632 1972 2088 2103 2448 2784 2804 2958 3944 4176 4206 4437 4896 5608 5916 6309 7888 8352 8412 8874 11216 11832 11917 12618 15776 16824 17748 20329 22432 23664 23834 25236 33648 35496 35751 40658 47328 47668 50472 60987 67296 70992 71502 81316 95336 100944 107253 121974 141984 143004 162632 182961 190672 201888 214506 243948 286008 325264 345593 365922 381344 429012 487896 572016 650528 691186 731844 858024 975792 1036779 1144032 1382372 1463688 1716048 1951584 2073558 2764744 2927376 3110337 3432096 4147116 5529488 5854752 6220674 8294232 11058976 12441348 16588464 24882696 33176928 49765392 99530784