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4713309252 = 223219103149449
BaseRepresentation
bin1000110001110111…
…10110010001000100
3110011110220220210100
410120323312101010
534123101344002
62055410324100
7224541316251
oct43073662104
913143826710
104713309252
111aa95a4003
12ab6589630
135a16409b2
14329d94428
151c8bc611c
hex118ef6444

4713309252 has 144 divisors (see below), whose sum is σ = 12776400000. Its totient is φ = 1460809728.

The previous prime is 4713309241. The next prime is 4713309253. The reversal of 4713309252 is 2529033174.

4713309252 is a `hidden beast` number, since 4 + 71 + 330 + 9 + 252 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4713309253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10497124 + ... + 10497572.

It is an arithmetic number, because the mean of its divisors is an integer number (88725000).

Almost surely, 24713309252 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 4713309252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388200000).

4713309252 is an abundant number, since it is smaller than the sum of its proper divisors (8063090748).

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

4713309252 is a wasteful number, since it uses less digits than its factorization.

4713309252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4713309252 is about 68653.5450796243. The cubic root of 4713309252 is about 1676.6483219451.

The spelling of 4713309252 in words is "four billion, seven hundred thirteen million, three hundred nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 149 171 206 228 298 309 342 412 447 449 596 618 684 894 898 927 1236 1341 1347 1788 1796 1854 1957 2682 2694 2831 3708 3914 4041 5364 5388 5662 5871 7828 8082 8493 8531 11324 11742 15347 16164 16986 17062 17613 23484 25479 25593 30694 33972 34124 35226 46041 46247 50958 51186 61388 66901 70452 76779 92082 92494 101916 102372 133802 138123 138741 153558 184164 184988 200703 267604 276246 277482 291593 307116 401406 416223 552492 554964 583186 602109 802812 832446 874779 878693 1166372 1204218 1271119 1664892 1749558 1757386 2408436 2542238 2624337 2636079 3499116 3514772 3813357 5084476 5248674 5272158 6890803 7626714 7908237 10497348 10544316 11440071 13781606 15253428 15816474 20672409 22880142 27563212 31632948 41344818 45760284 62017227 82689636 124034454 130925257 248068908 261850514 392775771 523701028 785551542 1178327313 1571103084 2356654626 4713309252