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99997296 = 2437359829
BaseRepresentation
bin1011111010111…
…01011001110000
320222011101111120
411331131121300
5201044403141
613531142240
72322651210
oct575353160
9228141446
1099997296
115149a4a3
12295a4980
13179424c9
14d3d0240
158ba3c66
hex5f5d670

99997296 has 80 divisors (see below), whose sum is σ = 296409600. Its totient is φ = 28456704.

The previous prime is 99997267. The next prime is 99997357. The reversal of 99997296 is 69279999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120210 + ... + 121038.

It is an arithmetic number, because the mean of its divisors is an integer number (3705120).

Almost surely, 299997296 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 99997296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148204800).

99997296 is an abundant number, since it is smaller than the sum of its proper divisors (196412304).

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

99997296 is a wasteful number, since it uses less digits than its factorization.

99997296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its digits is 4960116, while the sum is 60.

The square root of 99997296 is about 9999.8647990860. The cubic root of 99997296 is about 464.1546997048.

The spelling of 99997296 in words is "ninety-nine million, nine hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 359 718 829 1077 1436 1658 2154 2487 2513 2872 3316 4308 4974 5026 5744 5803 6632 7539 8616 9948 10052 11606 13264 15078 17232 17409 19896 20104 23212 30156 34818 39792 40208 46424 60312 69636 92848 120624 139272 278544 297611 595222 892833 1190444 1785666 2083277 2380888 3571332 4166554 4761776 6249831 7142664 8333108 12499662 14285328 16666216 24999324 33332432 49998648 99997296