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920799450 = 232523795399
BaseRepresentation
bin110110111000100…
…100100011011010
32101011122110101100
4312320210203122
53341211040300
6231211532230
731550444334
oct6670444332
92334573340
10920799450
1143284928a
1221845a076
131189c995c
148a412454
1555c89700
hex36e248da

920799450 has 72 divisors (see below), whose sum is σ = 2480868000. Its totient is φ = 244853280.

The previous prime is 920799433. The next prime is 920799469. The reversal of 920799450 is 54997029.

920799450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 920799396 and 920799405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167851 + ... + 173249.

It is an arithmetic number, because the mean of its divisors is an integer number (34456500).

Almost surely, 2920799450 is an apocalyptic number.

920799450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 920799450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240434000).

920799450 is an abundant number, since it is smaller than the sum of its proper divisors (1560068550).

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

920799450 is a wasteful number, since it uses less digits than its factorization.

920799450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 920799450 is about 30344.6774575048. The cubic root of 920799450 is about 972.8704606493.

The spelling of 920799450 in words is "nine hundred twenty million, seven hundred ninety-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 379 450 758 1137 1895 2274 3411 3790 5399 5685 6822 9475 10798 11370 16197 17055 18950 26995 28425 32394 34110 48591 53990 56850 80985 85275 97182 134975 161970 170550 242955 269950 404925 485910 809850 1214775 2046221 2429550 4092442 6138663 10231105 12277326 18415989 20462210 30693315 36831978 51155525 61386630 92079945 102311050 153466575 184159890 306933150 460399725 920799450