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2028943752 = 23311471011619
BaseRepresentation
bin111100011101111…
…0011100110001000
312020101211000120220
41320323303212020
513123402200002
6533155150040
7101164510623
oct17073634610
95211730526
102028943752
11951316520
124875a5320
1326446c644
14153670dba
15bd1cd7bc
hex78ef3988

2028943752 has 128 divisors (see below), whose sum is σ = 5710694400. Its totient is φ = 595424000.

The previous prime is 2028943751. The next prime is 2028943757. The reversal of 2028943752 is 2573498202.

It is a super-2 number, since 2×20289437522 = 8233225497559675008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028943751) by changing a digit.

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, 1252399 + ... + 1254017.

It is an arithmetic number, because the mean of its divisors is an integer number (44614800).

Almost surely, 22028943752 is an apocalyptic number.

2028943752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028943752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855347200).

2028943752 is an abundant number, since it is smaller than the sum of its proper divisors (3681750648).

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

2028943752 is a wasteful number, since it uses less digits than its factorization.

2028943752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2028943752 is about 45043.7981524649. The cubic root of 2028943752 is about 1265.9697713458.

The spelling of 2028943752 in words is "two billion, twenty-eight million, nine hundred forty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 101 132 141 188 202 264 282 303 376 404 517 564 606 808 1034 1111 1128 1212 1551 1619 2068 2222 2424 3102 3238 3333 4136 4444 4747 4857 6204 6476 6666 8888 9494 9714 12408 12952 13332 14241 17809 18988 19428 26664 28482 35618 37976 38856 52217 53427 56964 71236 76093 104434 106854 113928 142472 152186 156651 163519 208868 213708 228279 304372 313302 327038 417736 427416 456558 490557 608744 626604 654076 837023 913116 981114 1253208 1308152 1674046 1798709 1826232 1962228 2511069 3348092 3597418 3924456 5022138 5396127 6696184 7194836 7685393 10044276 10792254 14389672 15370786 20088552 21584508 23056179 30741572 43169016 46112358 61483144 84539323 92224716 169078646 184449432 253617969 338157292 507235938 676314584 1014471876 2028943752