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2028259872 = 25332347523
BaseRepresentation
bin111100011100100…
…1100101000100000
312020100112021111000
41320321030220200
513123213303442
6533132352000
7101155632042
oct17071145040
95210467430
102028259872
11950999731
12487315600
13264290292
14153533a92
15bd0e5d4c
hex78e4ca20

2028259872 has 48 divisors (see below), whose sum is σ = 5915760480. Its totient is φ = 676086336.

The previous prime is 2028259837. The next prime is 2028259903. The reversal of 2028259872 is 2789528202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20282598722 = 8227676216730912768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1172898 + ... + 1174625.

It is an arithmetic number, because the mean of its divisors is an integer number (123245010).

Almost surely, 22028259872 is an apocalyptic number.

It is an amenable number.

2028259872 is an abundant number, since it is smaller than the sum of its proper divisors (3887500608).

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

2028259872 is a wasteful number, since it uses less digits than its factorization.

2028259872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347542 (or 2347528 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2028259872 is about 45036.2062345398. The cubic root of 2028259872 is about 1265.8275185608.

The spelling of 2028259872 in words is "two billion, twenty-eight million, two hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2347523 4695046 7042569 9390092 14085138 18780184 21127707 28170276 37560368 42255414 56340552 63383121 75120736 84510828 112681104 126766242 169021656 225362208 253532484 338043312 507064968 676086624 1014129936 2028259872