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99000800 = 2552472633
BaseRepresentation
bin1011110011010…
…10000111100000
320220021202120022
411321222013200
5200321011200
613453533012
72311331033
oct571520740
9226252508
1099000800
1150979848
12291a4168
1317683a72
14d21101a
158a58885
hex5e6a1e0

99000800 has 72 divisors (see below), whose sum is σ = 246921696. Its totient is φ = 38743040.

The previous prime is 99000793. The next prime is 99000817. The reversal of 99000800 is 800099.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 99000800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36284 + ... + 38916.

It is an arithmetic number, because the mean of its divisors is an integer number (3429468).

Almost surely, 299000800 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 99000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123460848).

99000800 is an abundant number, since it is smaller than the sum of its proper divisors (147920896).

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

99000800 is a wasteful number, since it uses less digits than its factorization.

99000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 99000800 is about 9949.9145724976. The cubic root of 99000800 is about 462.6077469930.

Adding to 99000800 its reverse (800099), we get a palindrome (99800899).

The spelling of 99000800 in words is "ninety-nine million, eight hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 2633 3760 4700 5266 7520 9400 10532 13165 18800 21064 26330 37600 42128 52660 65825 84256 105320 123751 131650 210640 247502 263300 421280 495004 526600 618755 990008 1053200 1237510 1980016 2106400 2475020 3093775 3960032 4950040 6187550 9900080 12375100 19800160 24750200 49500400 99000800