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1928988 = 223353337
BaseRepresentation
bin111010110111100011100
310122000002000
413112330130
5443211423
6105202300
722252605
oct7267434
93560060
101928988
1110a8306
12790390
13527019
14382dac
15281843
hex1d6f1c

1928988 has 48 divisors (see below), whose sum is σ = 5110560. Its totient is φ = 628992.

The previous prime is 1928963. The next prime is 1928989. The reversal of 1928988 is 8898291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928989) 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 15 ways as a sum of consecutive naturals, for example, 5556 + ... + 5892.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

21928988 is an apocalyptic number.

1928988 is a gapful number since it is divisible by the number (18) 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 1928988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555280).

1928988 is an abundant number, since it is smaller than the sum of its proper divisors (3181572).

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

1928988 is a wasteful number, since it uses less digits than its factorization.

1928988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 1928988 is about 1388.8801244168. The cubic root of 1928988 is about 124.4829414863.

It can be divided in two parts, 1928 and 988, that added together give a square (2916 = 542).

The spelling of 1928988 in words is "one million, nine hundred twenty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 337 477 636 674 954 1011 1348 1431 1908 2022 2862 3033 4044 5724 6066 9099 12132 17861 18198 35722 36396 53583 71444 107166 160749 214332 321498 482247 642996 964494 1928988