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2028480900 = 223526761603
BaseRepresentation
bin111100011101000…
…0010100110000100
312020100221111200020
41320322002212010
513123242342100
6533141215140
7101160542325
oct17072024604
95210844606
102028480900
1195102a7a6
124874014b0
13264339a74
1415359044c
15bd13b5a0
hex78e82984

2028480900 has 36 divisors (see below), whose sum is σ = 5869072272. Its totient is φ = 540928160.

The previous prime is 2028480887. The next prime is 2028480901. The reversal of 2028480900 is 90848202.

It is a super-2 number, since 2×20284809002 = 8229469523329620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028480901) 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 11 ways as a sum of consecutive naturals, for example, 3380502 + ... + 3381101.

Almost surely, 22028480900 is an apocalyptic number.

2028480900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028480900 is an abundant number, since it is smaller than the sum of its proper divisors (3840591372).

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

2028480900 is a wasteful number, since it uses less digits than its factorization.

2028480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761620 (or 6761613 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2028480900 is about 45038.6600599973. The cubic root of 2028480900 is about 1265.8734977383.

The spelling of 2028480900 in words is "two billion, twenty-eight million, four hundred eighty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6761603 13523206 20284809 27046412 33808015 40569618 67616030 81139236 101424045 135232060 169040075 202848090 338080150 405696180 507120225 676160300 1014240450 2028480900