Search a number
-
+
99991248 = 2437793767
BaseRepresentation
bin1011111010110…
…11111011010000
320222011002012120
411331123323100
5201044204443
613531054240
72322624450
oct575337320
9228132176
1099991248
11514959a5
12295a1380
131793c826
14d3cbd60
158ba2083
hex5f5bed0

99991248 has 80 divisors (see below), whose sum is σ = 299028480. Its totient is φ = 28199808.

The previous prime is 99991237. The next prime is 99991249. The reversal of 99991248 is 84219999.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99991248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99991249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24661 + ... + 28427.

It is an arithmetic number, because the mean of its divisors is an integer number (3737856).

Almost surely, 299991248 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 99991248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149514240).

99991248 is an abundant number, since it is smaller than the sum of its proper divisors (199037232).

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

99991248 is a wasteful number, since it uses less digits than its factorization.

99991248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3858 counting only the distinct ones).

The product of its digits is 419904, while the sum is 51.

The square root of 99991248 is about 9999.5623904249. The cubic root of 99991248 is about 464.1453419044.

The spelling of 99991248 in words is "ninety-nine million, nine hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3767 3792 4424 6636 7534 8848 11301 13272 15068 22602 26369 26544 30136 45204 52738 60272 79107 90408 105476 158214 180816 210952 297593 316428 421904 595186 632856 892779 1190372 1265712 1785558 2083151 2380744 3571116 4166302 4761488 6249453 7142232 8332604 12498906 14284464 16665208 24997812 33330416 49995624 99991248