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1918938 = 237261107
BaseRepresentation
bin111010100011111011010
310121111021210
413110133122
5442401223
6105043550
722211400
oct7243732
93544253
101918938
1110a07aa
127865b6
13522588
1437d470
1527d893
hex1d47da

1918938 has 48 divisors (see below), whose sum is σ = 4580064. Its totient is φ = 534240.

The previous prime is 1918933. The next prime is 1918967. The reversal of 1918938 is 8398191.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1918896 and 1918905.

It is not an unprimeable number, because it can be changed into a prime (1918933) by changing a digit.

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, 17881 + ... + 17987.

It is an arithmetic number, because the mean of its divisors is an integer number (95418).

21918938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290032).

1918938 is an abundant number, since it is smaller than the sum of its proper divisors (2661126).

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

1918938 is a wasteful number, since it uses less digits than its factorization.

1918938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 1918938 is about 1385.2573768076. The cubic root of 1918938 is about 124.2663801720.

The spelling of 1918938 in words is "one million, nine hundred eighteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 107 122 147 183 214 294 321 366 427 642 749 854 1281 1498 2247 2562 2989 4494 5243 5978 6527 8967 10486 13054 15729 17934 19581 31458 39162 45689 91378 137067 274134 319823 639646 959469 1918938