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99532872 = 23322973653
BaseRepresentation
bin1011110111011…
…00000001001000
320221021210102200
411323230001020
5200440022442
613513200200
72316005205
oct573540110
9227253380
1099532872
115120257a
1229400060
131780bcba
14d30ccac
158b1134c
hex5eec048

99532872 has 96 divisors (see below), whose sum is σ = 283116600. Its totient is φ = 31546368.

The previous prime is 99532861. The next prime is 99532897. The reversal of 99532872 is 27823599.

It can be written as a sum of positive squares in 4 ways, for example, as 77686596 + 21846276 = 8814^2 + 4674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152098 + ... + 152750.

Almost surely, 299532872 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 99532872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141558300).

99532872 is an abundant number, since it is smaller than the sum of its proper divisors (183583728).

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

99532872 is a wasteful number, since it uses less digits than its factorization.

99532872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

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

The square root of 99532872 is about 9976.6162600353. The cubic root of 99532872 is about 463.4350163571.

The spelling of 99532872 in words is "ninety-nine million, five hundred thirty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 73 87 116 146 174 219 232 261 292 348 438 522 584 653 657 696 876 1044 1306 1314 1752 1959 2088 2117 2612 2628 3918 4234 5224 5256 5877 6351 7836 8468 11754 12702 15672 16936 18937 19053 23508 25404 37874 38106 47016 47669 50808 56811 75748 76212 95338 113622 143007 151496 152424 170433 190676 227244 286014 340866 381352 429021 454488 572028 681732 858042 1144056 1363464 1382401 1716084 2764802 3432168 4147203 5529604 8294406 11059208 12441609 16588812 24883218 33177624 49766436 99532872