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2028722384 = 2413611271259
BaseRepresentation
bin111100011101011…
…1101100011010000
312020101101202221002
41320322331203100
513123323104014
6533150321132
7101162566343
oct17072754320
95211352832
102028722384
11951185177
124874b91a8
132643c2960
1415361445a
15bd187dde
hex78ebd8d0

2028722384 has 80 divisors (see below), whose sum is σ = 4339722240. Its totient is φ = 913006080.

The previous prime is 2028722369. The next prime is 2028722401. The reversal of 2028722384 is 4832278202.

It is a super-2 number, since 2×20287223842 = 8231429022685286912, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1610747 + ... + 1612005.

It is an arithmetic number, because the mean of its divisors is an integer number (54246528).

Almost surely, 22028722384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028722384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169861120).

2028722384 is an abundant number, since it is smaller than the sum of its proper divisors (2310999856).

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

2028722384 is a wasteful number, since it uses less digits than its factorization.

2028722384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 2028722384 is about 45041.3408326173. The cubic root of 2028722384 is about 1265.9237284415.

The spelling of 2028722384 in words is "two billion, twenty-eight million, seven hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 127 208 244 254 488 508 793 976 1016 1259 1586 1651 2032 2518 3172 3302 5036 6344 6604 7747 10072 12688 13208 15494 16367 20144 26416 30988 32734 61976 65468 76799 100711 123952 130936 153598 159893 201422 261872 307196 319786 402844 614392 639572 805688 998387 1228784 1279144 1611376 1996774 2078609 2558288 3993548 4157218 7987096 8314436 9753473 15974192 16628872 19506946 33257744 39013892 78027784 126795149 156055568 253590298 507180596 1014361192 2028722384