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1929023028 = 223253583973
BaseRepresentation
bin111001011111010…
…1000111000110100
311222102210112010100
41302332220320310
512422312214103
6515225354100
765542265562
oct16276507064
94872715110
101929023028
118aa979609
1245a038930
13249855c5a
141442a0a32
15b45425a3
hex72fa8e34

1929023028 has 18 divisors (see below), whose sum is σ = 4876141634. Its totient is φ = 643007664.

The previous prime is 1929022969. The next prime is 1929023039. The reversal of 1929023028 is 8203209291.

It can be written as a sum of positive squares in only one way, i.e., 1767529764 + 161493264 = 42042^2 + 12708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×19290230282 = 7442259685108577568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 53583973 = 1929023028 / (1 + 9 + 2 + 9 + 0 + 2 + 3 + 0 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 1929022983 and 1929023001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26791951 + ... + 26792022.

Almost surely, 21929023028 is an apocalyptic number.

1929023028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1929023028 is an abundant number, since it is smaller than the sum of its proper divisors (2947118606).

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

1929023028 is a wasteful number, since it uses less digits than its factorization.

1929023028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53583983 (or 53583978 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1929023028 is about 43920.6446673999. The cubic root of 1929023028 is about 1244.8369496638.

The spelling of 1929023028 in words is "one billion, nine hundred twenty-nine million, twenty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53583973 107167946 160751919 214335892 321503838 482255757 643007676 964511514 1929023028