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2058312984 = 2337134492099
BaseRepresentation
bin111101010101111…
…0101110100011000
312022110002010121020
41322223311310120
513203412003414
6540124442440
7102002241330
oct17253656430
95273063536
102058312984
11966956012
124953a9420
1326a5834a0
141575180c0
15c0a807a9
hex7aaf5d18

2058312984 has 128 divisors (see below), whose sum is σ = 6350400000. Its totient is φ = 541384704.

The previous prime is 2058312947. The next prime is 2058312989. The reversal of 2058312984 is 4892138502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058312989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979567 + ... + 981665.

It is an arithmetic number, because the mean of its divisors is an integer number (49612500).

Almost surely, 22058312984 is an apocalyptic number.

2058312984 is a gapful number since it is divisible by the number (24) 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 2058312984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200000).

2058312984 is an abundant number, since it is smaller than the sum of its proper divisors (4292087016).

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

2058312984 is a wasteful number, since it uses less digits than its factorization.

2058312984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2058312984 is about 45368.6343634013. The cubic root of 2058312984 is about 1272.0488935361.

The spelling of 2058312984 in words is "two billion, fifty-eight million, three hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 449 546 728 898 1092 1347 1796 2099 2184 2694 3143 3592 4198 5388 5837 6286 6297 8396 9429 10776 11674 12572 12594 14693 16792 17511 18858 23348 25144 25188 27287 29386 35022 37716 40859 44079 46696 50376 54574 58772 70044 75432 81718 81861 88158 109148 117544 122577 140088 163436 163722 176316 191009 218296 245154 326872 327444 352632 382018 490308 573027 654888 764036 942451 980616 1146054 1528072 1884902 2292108 2827353 3769804 4584216 5654706 6597157 7539608 11309412 12251863 13194314 19791471 22618824 24503726 26388628 36755589 39582942 49007452 52777256 73511178 79165884 85763041 98014904 147022356 158331768 171526082 257289123 294044712 343052164 514578246 686104328 1029156492 2058312984