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99000832 = 297231201
BaseRepresentation
bin1011110011010…
…10001000000000
320220021202121111
411321222020000
5200321011312
613453533104
72311331110
oct571521000
9226252544
1099000832
1150979877
12291a4194
1317683a98
14d211040
158a588a7
hex5e6a200

99000832 has 80 divisors (see below), whose sum is σ = 236092032. Its totient is φ = 40550400.

The previous prime is 99000817. The next prime is 99000851. The reversal of 99000832 is 23800099.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 99000794 and 99000803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81832 + ... + 83032.

Almost surely, 299000832 is an apocalyptic number.

99000832 is a gapful number since it is divisible by the number (92) 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 99000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118046016).

99000832 is an abundant number, since it is smaller than the sum of its proper divisors (137091200).

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

99000832 is a wasteful number, since it uses less digits than its factorization.

99000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 99000832 is about 9949.9161805515. The cubic root of 99000832 is about 462.6077968359.

The spelling of 99000832 in words is "ninety-nine million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 1201 1288 1472 1792 2402 2576 2944 3584 4804 5152 5888 8407 9608 10304 11776 16814 19216 20608 27623 33628 38432 41216 55246 67256 76864 82432 110492 134512 153728 193361 220984 269024 307456 386722 441968 538048 614912 773444 883936 1076096 1546888 1767872 2152192 3093776 3535744 4304384 6187552 7071488 12375104 14142976 24750208 49500416 99000832