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1908896 = 251121729
BaseRepresentation
bin111010010000010100000
310120222111212
413102002200
5442041041
6104525252
722140203
oct7220240
93528455
101908896
111094200
12780828
1351ab32
1437993a
1527a8eb
hex1d20a0

1908896 has 72 divisors (see below), whose sum is σ = 4524660. Its totient is φ = 788480.

The previous prime is 1908883. The next prime is 1908923. The reversal of 1908896 is 6988091.

It can be written as a sum of positive squares in 2 ways, for example, as 1860496 + 48400 = 1364^2 + 220^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65810 + ... + 65838.

21908896 is an apocalyptic number.

1908896 is a gapful number since it is divisible by the number (16) 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 1908896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262330).

1908896 is an abundant number, since it is smaller than the sum of its proper divisors (2615764).

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

1908896 is a wasteful number, since it uses less digits than its factorization.

1908896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 1908896 is about 1381.6280251935. The cubic root of 1908896 is about 124.0492346976.

The spelling of 1908896 in words is "one million, nine hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 68 88 116 121 136 176 187 232 242 272 319 352 374 464 484 493 544 638 748 928 968 986 1276 1496 1936 1972 2057 2552 2992 3509 3872 3944 4114 5104 5423 5984 7018 7888 8228 10208 10846 14036 15776 16456 21692 28072 32912 43384 56144 59653 65824 86768 112288 119306 173536 238612 477224 954448 1908896