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99288112 = 24721129397
BaseRepresentation
bin1011110101100…
…00010000110000
320220211100200111
411322300100300
5200404204422
613504031104
72313635500
oct572602060
9226740614
1099288112
11510556a0
1229302494
1317754781
14d287a00
158ab3a77
hex5eb0430

99288112 has 120 divisors (see below), whose sum is σ = 253175760. Its totient is φ = 37255680.

The previous prime is 99288097. The next prime is 99288121. The reversal of 99288112 is 21188299.

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 23 ways as a sum of consecutive naturals, for example, 249898 + ... + 250294.

It is an arithmetic number, because the mean of its divisors is an integer number (2109798).

Almost surely, 299288112 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 99288112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126587880).

99288112 is an abundant number, since it is smaller than the sum of its proper divisors (153887648).

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

99288112 is a wasteful number, since it uses less digits than its factorization.

99288112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its digits is 20736, while the sum is 40.

The square root of 99288112 is about 9964.3420254425. The cubic root of 99288112 is about 463.0548288609.

The spelling of 99288112 in words is "ninety-nine million, two hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 49 56 58 77 88 98 112 116 154 176 196 203 232 308 319 392 397 406 464 539 616 638 784 794 812 1078 1232 1276 1421 1588 1624 2156 2233 2552 2779 2842 3176 3248 4312 4367 4466 5104 5558 5684 6352 8624 8734 8932 11116 11368 11513 15631 17468 17864 19453 22232 22736 23026 30569 31262 34936 35728 38906 44464 46052 61138 62524 69872 77812 80591 92104 122276 125048 126643 155624 161182 184208 213983 244552 250096 253286 311248 322364 427966 489104 506572 564137 644728 855932 886501 1013144 1128274 1289456 1711864 1773002 2026288 2256548 3423728 3546004 4513096 6205507 7092008 9026192 12411014 14184016 24822028 49644056 99288112