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5182312284 = 22363157329
BaseRepresentation
bin1001101001110001…
…11100111101011100
3111101011102202000000
410310320330331130
541103132443114
62214122534300
7242264633112
oct46470747534
914334382000
105182312284
11221a309a16
121007667390
13647862096
1437239bab2
15204e69e09
hex134e3cf5c

5182312284 has 84 divisors (see below), whose sum is σ = 14036218560. Its totient is φ = 1671684480.

The previous prime is 5182312273. The next prime is 5182312297. The reversal of 5182312284 is 4822132815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 61732 + ... + 119060.

It is an arithmetic number, because the mean of its divisors is an integer number (167097840).

Almost surely, 25182312284 is an apocalyptic number.

5182312284 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 5182312284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018109280).

5182312284 is an abundant number, since it is smaller than the sum of its proper divisors (8853906276).

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

5182312284 is a wasteful number, since it uses less digits than its factorization.

5182312284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57382 (or 57365 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5182312284 is about 71988.2787959262. The cubic root of 5182312284 is about 1730.5116470329.

The spelling of 5182312284 in words is "five billion, one hundred eighty-two million, three hundred twelve thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 972 1116 1458 1674 2511 2916 3348 5022 7533 10044 15066 22599 30132 45198 57329 90396 114658 171987 229316 343974 515961 687948 1031922 1547883 1777199 2063844 3095766 3554398 4643649 5331597 6191532 7108796 9287298 10663194 13930947 15994791 18574596 21326388 27861894 31989582 41792841 47984373 55723788 63979164 83585682 95968746 143953119 167171364 191937492 287906238 431859357 575812476 863718714 1295578071 1727437428 2591156142 5182312284