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4123808 = 251323431
BaseRepresentation
bin1111101110110010100000
321202111210122
433232302200
52023430213
6224215412
750023523
oct17566240
97674718
104123808
112367307
12146a568
13b15030
14794bba
15566d08
hex3eeca0

4123808 has 48 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 1816320.

The previous prime is 4123799. The next prime is 4123813. The reversal of 4123808 is 8083214.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 9353 + ... + 9783.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 24123808 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 4123808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

4123808 is an abundant number, since it is smaller than the sum of its proper divisors (5020768).

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

4123808 is a wasteful number, since it uses less digits than its factorization.

4123808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4123808 is about 2030.7161298419. The cubic root of 4123808 is about 160.3612670078.

The spelling of 4123808 in words is "four million, one hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 431 598 736 862 1196 1724 2392 3448 4784 5603 6896 9568 9913 11206 13792 19826 22412 39652 44824 79304 89648 128869 158608 179296 257738 317216 515476 1030952 2061904 4123808