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99873216 = 2633291993
BaseRepresentation
bin1011111001111…
…11000111000000
320221221002022000
411330333013000
5201031420331
613524344000
72321623362
oct574770700
9227832260
1099873216
1151415253
1229545000
13178caba1
14d39ad32
158b7c0e6
hex5f3f1c0

99873216 has 112 divisors (see below), whose sum is σ = 303885600. Its totient is φ = 32126976.

The previous prime is 99873203. The next prime is 99873217. The reversal of 99873216 is 61237899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99873217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49116 + ... + 51108.

Almost surely, 299873216 is an apocalyptic number.

99873216 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 99873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151942800).

99873216 is an abundant number, since it is smaller than the sum of its proper divisors (204012384).

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

99873216 is a wasteful number, since it uses less digits than its factorization.

99873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 99873216 is about 9993.6587894524. The cubic root of 99873216 is about 463.9626406702.

It can be divided in two parts, 9987 and 3216, that added together give a triangular number (13203 = T162).

The spelling of 99873216 in words is "ninety-nine million, eight hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 1993 2088 2784 3132 3986 4176 5568 5979 6264 7972 8352 11958 12528 15944 16704 17937 23916 25056 31888 35874 47832 50112 53811 57797 63776 71748 95664 107622 115594 127552 143496 173391 191328 215244 231188 286992 346782 382656 430488 462376 520173 573984 693564 860976 924752 1040346 1147968 1387128 1560519 1721952 1849504 2080692 2774256 3121038 3443904 3699008 4161384 5548512 6242076 8322768 11097024 12484152 16645536 24968304 33291072 49936608 99873216