Search a number
-
+
99878268 = 22372592879
BaseRepresentation
bin1011111010000…
…00010101111100
320221221100020010
411331000111330
5201032101033
613524423220
72321644200
oct575002574
9227840203
1099878268
1151419026
1229547b10
1317900289
14d39cb00
158b7d863
hex5f4057c

99878268 has 72 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 28043232.

The previous prime is 99878267. The next prime is 99878279. The reversal of 99878268 is 86287899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99878267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33253 + ... + 36131.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 299878268 is an apocalyptic number.

99878268 is a gapful number since it is divisible by the number (98) 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 99878268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

99878268 is an abundant number, since it is smaller than the sum of its proper divisors (175910532).

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

99878268 is a wasteful number, since it uses less digits than its factorization.

99878268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2950 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The square root of 99878268 is about 9993.9115465367. The cubic root of 99878268 is about 463.9704635876.

The spelling of 99878268 in words is "ninety-nine million, eight hundred seventy-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2879 2891 4956 5758 5782 8637 8673 11516 11564 17274 17346 20153 34548 34692 40306 60459 80612 120918 141071 169861 241836 282142 339722 423213 509583 564284 679444 846426 1019166 1189027 1692852 2038332 2378054 3567081 4756108 7134162 8323189 14268324 16646378 24969567 33292756 49939134 99878268