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5802940890 = 2325299532333
BaseRepresentation
bin1010110011110000…
…11101100111011010
3112222102020221101200
411121320131213122
543341023102030
62355453055030
7263542120005
oct53170354732
915872227350
105802940890
11250867741a
12115b487476
13716301246
143d099453c
1523e6aed60
hex159e1d9da

5802940890 has 96 divisors (see below), whose sum is σ = 15630984720. Its totient is φ = 1491883008.

The previous prime is 5802940889. The next prime is 5802940909. The reversal of 5802940890 is 980492085.

5802940890 is a `hidden beast` number, since 580 + 29 + 40 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1874283849 + 3928657041 = 43293^2 + 62679^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2486164 + ... + 2488496.

Almost surely, 25802940890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5802940890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815492360).

5802940890 is an abundant number, since it is smaller than the sum of its proper divisors (9828043830).

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

5802940890 is a wasteful number, since it uses less digits than its factorization.

5802940890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5802940890 is about 76177.0365005098. The cubic root of 5802940890 is about 1797.0054003775.

The spelling of 5802940890 in words is "five billion, eight hundred two million, nine hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 953 1305 1906 2333 2610 2859 4666 4765 5718 6999 8577 9530 11665 13998 14295 17154 20997 23330 27637 28590 34995 41994 42885 55274 67657 69990 82911 85770 104985 135314 138185 165822 202971 209970 248733 276370 338285 405942 414555 497466 608913 676570 829110 1014855 1217826 1243665 2029710 2223349 2487330 3044565 4446698 6089130 6670047 11116745 13340094 20010141 22233490 33350235 40020282 64477121 66700470 100050705 128954242 193431363 200101410 322385605 386862726 580294089 644771210 967156815 1160588178 1934313630 2901470445 5802940890