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99490176 = 2732671289
BaseRepresentation
bin1011110111000…
…01100110000000
320221012121212100
411323201212000
5200432141201
613512230400
72315436552
oct573414600
9227177770
1099490176
1151183495
122939b400
13177c5736
14d2db4d2
158b03886
hex5ee1980

99490176 has 96 divisors (see below), whose sum is σ = 290791800. Its totient is φ = 32643072.

The previous prime is 99490093. The next prime is 99490199. The reversal of 99490176 is 67109499.

99490176 is a `hidden beast` number, since 99 + 490 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76540 + ... + 77828.

Almost surely, 299490176 is an apocalyptic number.

99490176 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99490176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145395900).

99490176 is an abundant number, since it is smaller than the sum of its proper divisors (191301624).

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

99490176 is a wasteful number, since it uses less digits than its factorization.

99490176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 99490176 is about 9974.4762268502. The cubic root of 99490176 is about 463.3687412629.

The spelling of 99490176 in words is "ninety-nine million, four hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1289 1608 2144 2412 2578 3216 3867 4288 4824 5156 6432 7734 8576 9648 10312 11601 12864 15468 19296 20624 23202 25728 30936 38592 41248 46404 61872 77184 82496 86363 92808 123744 164992 172726 185616 247488 259089 345452 371232 494976 518178 690904 742464 777267 1036356 1381808 1484928 1554534 2072712 2763616 3109068 4145424 5527232 6218136 8290848 11054464 12436272 16581696 24872544 33163392 49745088 99490176