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5171904 = 26334173
BaseRepresentation
bin10011101110101011000000
3100201202112000
4103232223000
52311000104
6302504000
761650303
oct23565300
910652460
105171904
112a12801
121895000
1310c10ca
14988b3a
156c2639
hex4eeac0

5171904 has 112 divisors (see below), whose sum is σ = 15788640. Its totient is φ = 1658880.

The previous prime is 5171891. The next prime is 5171909. The reversal of 5171904 is 4091715.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70812 + ... + 70884.

It is an arithmetic number, because the mean of its divisors is an integer number (140970).

Almost surely, 25171904 is an apocalyptic number.

5171904 is a gapful number since it is divisible by the number (54) 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 5171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894320).

5171904 is an abundant number, since it is smaller than the sum of its proper divisors (10616736).

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

5171904 is a wasteful number, since it uses less digits than its factorization.

5171904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 5171904 is about 2274.1820507602. The cubic root of 5171904 is about 172.9352336444.

The spelling of 5171904 in words is "five million, one hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 73 82 96 108 123 144 146 164 192 216 219 246 288 292 328 369 432 438 492 576 584 656 657 738 864 876 984 1107 1168 1312 1314 1476 1728 1752 1968 1971 2214 2336 2624 2628 2952 2993 3504 3936 3942 4428 4672 5256 5904 5986 7008 7872 7884 8856 8979 10512 11808 11972 14016 15768 17712 17958 21024 23616 23944 26937 31536 35424 35916 42048 47888 53874 63072 70848 71832 80811 95776 107748 126144 143664 161622 191552 215496 287328 323244 430992 574656 646488 861984 1292976 1723968 2585952 5171904