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9923808 = 253167619
BaseRepresentation
bin100101110110…
…110011100000
3200200011220110
4211312303200
510020030213
6552411320
7150231246
oct45666340
920604813
109923808
1156689a4
1233a6b40
132095c9b
141464796
15d105c3
hex976ce0

9923808 has 48 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 3282816.

The previous prime is 9923803. The next prime is 9923819. The reversal of 9923808 is 8083299.

9923808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9923803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15723 + ... + 16341.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 29923808 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 9923808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

9923808 is an abundant number, since it is smaller than the sum of its proper divisors (16324512).

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

9923808 is a wasteful number, since it uses less digits than its factorization.

9923808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 9923808 is about 3150.2076122059. The cubic root of 9923808 is about 214.8949044679.

It can be divided in two parts, 9923 and 808, that added together give a triangular number (10731 = T146).

The spelling of 9923808 in words is "nine million, nine hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 619 668 1002 1238 1336 1857 2004 2476 2672 3714 4008 4952 5344 7428 8016 9904 14856 16032 19808 29712 59424 103373 206746 310119 413492 620238 826984 1240476 1653968 2480952 3307936 4961904 9923808