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1948232 = 2311132131
BaseRepresentation
bin111011011101001001000
310122222110202
413123221020
5444320412
6105431332
722362656
oct7335110
93588422
101948232
111110810
1279b548
13532a00
14389dd6
152873c2
hex1dba48

1948232 has 48 divisors (see below), whose sum is σ = 4348080. Its totient is φ = 811200.

The previous prime is 1948231. The next prime is 1948237. The reversal of 1948232 is 2328491.

It is a junction number, because it is equal to n+sod(n) for n = 1948195 and 1948204.

It is not an unprimeable number, because it can be changed into a prime (1948231) 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 11 ways as a sum of consecutive naturals, for example, 14807 + ... + 14937.

It is an arithmetic number, because the mean of its divisors is an integer number (90585).

21948232 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 1948232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174040).

1948232 is an abundant number, since it is smaller than the sum of its proper divisors (2399848).

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

1948232 is a wasteful number, since it uses less digits than its factorization.

1948232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1948232 is about 1395.7908152728. The cubic root of 1948232 is about 124.8955287103.

The spelling of 1948232 in words is "one million, nine hundred forty-eight thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 131 143 169 262 286 338 524 572 676 1048 1144 1352 1441 1703 1859 2882 3406 3718 5764 6812 7436 11528 13624 14872 18733 22139 37466 44278 74932 88556 149864 177112 243529 487058 974116 1948232