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1989832 = 231319253
BaseRepresentation
bin111100101110011001000
310202002112111
413211303020
51002133312
6110352104
722625155
oct7456310
93662474
101989832
111139a99
127bb634
13548920
1439b22c
152948a7
hex1e5cc8

1989832 has 48 divisors (see below), whose sum is σ = 4320540. Its totient is φ = 853632.

The previous prime is 1989811. The next prime is 1989847. The reversal of 1989832 is 2389891.

It can be written as a sum of positive squares in 2 ways, for example, as 1976836 + 12996 = 1406^2 + 114^2 .

It is an unprimeable number.

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, 37518 + ... + 37570.

21989832 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 1989832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160270).

1989832 is an abundant number, since it is smaller than the sum of its proper divisors (2330708).

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

1989832 is a wasteful number, since it uses less digits than its factorization.

1989832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 1989832 is about 1410.6140506886. The cubic root of 1989832 is about 125.7782275073.

The spelling of 1989832 in words is "one million, nine hundred eighty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 53 76 104 106 152 212 247 361 424 494 689 722 988 1007 1378 1444 1976 2014 2756 2888 4028 4693 5512 8056 9386 13091 18772 19133 26182 37544 38266 52364 76532 104728 153064 248729 497458 994916 1989832