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1923825 = 352113227
BaseRepresentation
bin111010101101011110001
310121201222210
413111223301
5443030300
6105122333
722231551
oct7255361
93551883
101923825
1110a4442
127893a9
13524877
14381161
15280050
hex1d5af1

1923825 has 24 divisors (see below), whose sum is σ = 3223008. Its totient is φ = 1012480.

The previous prime is 1923811. The next prime is 1923833. The reversal of 1923825 is 5283291.

1923825 = T1 + T2 + ... + T225.

It is a happy number.

1923825 is a nontrivial binomial coefficient, being equal to C(227, 3).

It is not a de Polignac number, because 1923825 - 25 = 1923793 is a prime.

It is a super-2 number, since 2×19238252 = 7402205261250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1923792 and 1923801.

It is an unprimeable number.

It is the 225-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8362 + ... + 8588.

It is an arithmetic number, because the mean of its divisors is an integer number (134292).

21923825 is an apocalyptic number.

1923825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1923825 is a deficient number, since it is larger than the sum of its proper divisors (1299183).

1923825 is a wasteful number, since it uses less digits than its factorization.

1923825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1923825 is about 1387.0201873080. The cubic root of 1923825 is about 124.3717813532.

The spelling of 1923825 in words is "one million, nine hundred twenty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 113 227 339 565 681 1135 1695 2825 3405 5675 8475 17025 25651 76953 128255 384765 641275 1923825