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2028375536 = 2411172997241
BaseRepresentation
bin111100011100110…
…1000110111110000
312020100202011010212
41320321220313300
513123231004121
6533135043252
7101156623205
oct17071506760
95210664125
102028375536
11950a68620
12487370528
13264300b15
14153563cac
15bd11a25b
hex78e68df0

2028375536 has 160 divisors (see below), whose sum is σ = 4764070080. Its totient is φ = 825753600.

The previous prime is 2028375527. The next prime is 2028375577. The reversal of 2028375536 is 6355738202.

It is a super-2 number, since 2×20283755362 = 8228614630086574592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2028375493 and 2028375502.

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 31 ways as a sum of consecutive naturals, for example, 8416376 + ... + 8416616.

It is an arithmetic number, because the mean of its divisors is an integer number (29775438).

Almost surely, 22028375536 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 2028375536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382035040).

2028375536 is an abundant number, since it is smaller than the sum of its proper divisors (2735694544).

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

2028375536 is a wasteful number, since it uses less digits than its factorization.

2028375536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The square root of 2028375536 is about 45037.4903386057. The cubic root of 2028375536 is about 1265.8515798909.

It can be divided in two parts, 202 and 8375536, that added together give a palindrome (8375738).

The spelling of 2028375536 in words is "two billion, twenty-eight million, three hundred seventy-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 68 88 97 116 136 176 187 194 232 241 272 319 374 388 464 482 493 638 748 776 964 986 1067 1276 1496 1552 1649 1928 1972 2134 2552 2651 2813 2992 3298 3856 3944 4097 4268 5104 5302 5423 5626 6596 6989 7888 8194 8536 10604 10846 11252 13192 13978 16388 17072 18139 21208 21692 22504 23377 26384 27956 30943 32776 36278 42416 43384 45008 45067 46754 47821 55912 61886 65552 72556 76879 86768 90134 93508 95642 111824 118813 123772 145112 153758 180268 187016 191284 237626 247544 257147 290224 307516 360536 374032 382568 397409 475252 495088 514294 526031 615032 677933 721072 765136 794818 950504 1028588 1052062 1230064 1306943 1355866 1589636 1901008 2057176 2104124 2613886 2711732 3179272 4114352 4208248 4371499 5227772 5423464 6358544 7457263 8416496 8742998 10455544 10846928 11524861 14914526 17485996 20911088 23049722 29829052 34971992 46099444 59658104 69943984 92198888 119316208 126773471 184397776 253546942 507093884 1014187768 2028375536