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2028581088 = 25329838779
BaseRepresentation
bin111100011101001…
…1011000011100000
312020101010121002220
41320322123003200
513123304043323
6533143311040
7101161440402
oct17072330340
95211117086
102028581088
11951098aa6
1248744b480
13264373551
141535b8b72
15bd15b0e3
hex78e9b0e0

2028581088 has 96 divisors (see below), whose sum is σ = 5575651200. Its totient is φ = 644937216.

The previous prime is 2028581081. The next prime is 2028581089. The reversal of 2028581088 is 8801858202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028581081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226683 + ... + 235461.

It is an arithmetic number, because the mean of its divisors is an integer number (58079700).

Almost surely, 22028581088 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 2028581088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787825600).

2028581088 is an abundant number, since it is smaller than the sum of its proper divisors (3547070112).

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

2028581088 is a wasteful number, since it uses less digits than its factorization.

2028581088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 2028581088 is about 45039.7722907210. The cubic root of 2028581088 is about 1265.8943381689.

The spelling of 2028581088 in words is "two billion, twenty-eight million, five hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 83 87 96 116 166 174 232 249 332 348 464 498 664 696 928 996 1328 1392 1992 2407 2656 2784 3984 4814 7221 7968 8779 9628 14442 17558 19256 26337 28884 35116 38512 52674 57768 70232 77024 105348 115536 140464 210696 231072 254591 280928 421392 509182 728657 763773 842784 1018364 1457314 1527546 2036728 2185971 2914628 3055092 4073456 4371942 5829256 6110184 8146912 8743884 11658512 12220368 17487768 21131053 23317024 24440736 34975536 42262106 63393159 69951072 84524212 126786318 169048424 253572636 338096848 507145272 676193696 1014290544 2028581088