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5082269184 = 293540849
BaseRepresentation
bin1001011101110110…
…10100011000000000
3111010012012000200000
410232323110120000
540402030103214
62200150400000
7236641401216
oct45673243000
914105160600
105082269184
112178899073
12b9a060000
1362cc04a95
14362d98cb6
151eb2a7809
hex12eed4600

5082269184 has 120 divisors (see below), whose sum is σ = 15211396200. Its totient is φ = 1694048256.

The previous prime is 5082269173. The next prime is 5082269243. The reversal of 5082269184 is 4819622805.

5082269184 is a `hidden beast` number, since 508 + 2 + 2 + 69 + 1 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103992 + ... + 144840.

It is an arithmetic number, because the mean of its divisors is an integer number (126761635).

Almost surely, 25082269184 is an apocalyptic number.

5082269184 is a gapful number since it is divisible by the number (54) 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 5082269184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605698100).

5082269184 is an abundant number, since it is smaller than the sum of its proper divisors (10129127016).

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

5082269184 is an frugal number, since it uses more digits than its factorization.

5082269184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40882 (or 40854 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5082269184 is about 71290.0356571660. The cubic root of 5082269184 is about 1719.3035290887.

The spelling of 5082269184 in words is "five billion, eighty-two million, two hundred sixty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 20736 31104 40849 41472 62208 81698 122547 124416 163396 245094 326792 367641 490188 653584 735282 980376 1102923 1307168 1470564 1960752 2205846 2614336 2941128 3308769 3921504 4411692 5228672 5882256 6617538 7843008 8823384 9926307 10457344 11764512 13235076 15686016 17646768 19852614 20914688 23529024 26470152 31372032 35293536 39705228 47058048 52940304 62744064 70587072 79410456 94116096 105880608 141174144 158820912 188232192 211761216 282348288 317641824 423522432 564696576 635283648 847044864 1270567296 1694089728 2541134592 5082269184