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1928052 = 2232721093
BaseRepresentation
bin111010110101101110100
310121221210100
413112231310
5443144202
6105154100
722250100
oct7265564
93557710
101928052
1110a7635
1278b930
13526779
14382900
1528141c
hex1d6b74

1928052 has 54 divisors (see below), whose sum is σ = 5674578. Its totient is φ = 550368.

The previous prime is 1928041. The next prime is 1928071. The reversal of 1928052 is 2508291.

It can be written as a sum of positive squares in only one way, i.e., 1920996 + 7056 = 1386^2 + 84^2 .

It is a congruent number.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 1218 + ... + 2310.

21928052 is an apocalyptic number.

1928052 is a gapful number since it is divisible by the number (12) 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 1928052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837289).

1928052 is an abundant number, since it is smaller than the sum of its proper divisors (3746526).

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

1928052 is a wasteful number, since it uses less digits than its factorization.

1928052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1928052 is about 1388.5431214046. The cubic root of 1928052 is about 124.4628040042.

The spelling of 1928052 in words is "one million, nine hundred twenty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1093 1764 2186 3279 4372 6558 7651 9837 13116 15302 19674 22953 30604 39348 45906 53557 68859 91812 107114 137718 160671 214228 275436 321342 482013 642684 964026 1928052