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2028581632 = 28711102911
BaseRepresentation
bin111100011101001…
…1011001100000000
312020101010121212001
41320322123030000
513123304103012
6533143313344
7101161442110
oct17072331400
95211117761
102028581632
11951099450
1248744b854
1326437387c
141535b9040
15bd15b357
hex78e9b300

2028581632 has 72 divisors (see below), whose sum is σ = 5048451072. Its totient is φ = 790348800.

The previous prime is 2028581609. The next prime is 2028581651. The reversal of 2028581632 is 2361858202.

It is a junction number, because it is equal to n+sod(n) for n = 2028581591 and 2028581600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31744 + ... + 71167.

It is an arithmetic number, because the mean of its divisors is an integer number (70117376).

Almost surely, 22028581632 is an apocalyptic number.

2028581632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2028581632 is an abundant number, since it is smaller than the sum of its proper divisors (3019869440).

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

2028581632 is a wasteful number, since it uses less digits than its factorization.

2028581632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102945 (or 102931 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2028581632 is about 45039.7783298275. The cubic root of 2028581632 is about 1265.8944513262.

The spelling of 2028581632 in words is "two billion, twenty-eight million, five hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 102911 205822 411644 720377 823288 1132021 1440754 1646576 2264042 2881508 3293152 4528084 5763016 6586304 7924147 9056168 11526032 13172608 15848294 18112336 23052064 26345216 31696588 36224672 46104128 63393176 72449344 92208256 126786352 144898688 184416512 253572704 289797376 507145408 1014290816 2028581632