Search a number
-
+
4589085072 = 24311131036491
BaseRepresentation
bin1000100011000011…
…11110000110010000
3102211211011200020210
410101201332012100
533344301210242
62035212004120
7221502402525
oct42141760620
912754150223
104589085072
111a454675a0
12a80a60640
13581998170
1431769914c
151bcd38d9c
hex11187e190

4589085072 has 160 divisors (see below), whose sum is σ = 14065099776. Its totient is φ = 1271001600.

The previous prime is 4589084989. The next prime is 4589085089. The reversal of 4589085072 is 2705809854.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703747 + ... + 710237.

Almost surely, 24589085072 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 4589085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032549888).

4589085072 is an abundant number, since it is smaller than the sum of its proper divisors (9476014704).

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

4589085072 is a wasteful number, since it uses less digits than its factorization.

4589085072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 4589085072 is about 67742.7861251661. The cubic root of 4589085072 is about 1661.7870472824.

The spelling of 4589085072 in words is "four billion, five hundred eighty-nine million, eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 103 104 132 143 156 176 206 208 264 286 309 312 412 429 528 572 618 624 824 858 1133 1144 1236 1339 1648 1716 2266 2288 2472 2678 3399 3432 4017 4532 4944 5356 6491 6798 6864 8034 9064 10712 12982 13596 14729 16068 18128 19473 21424 25964 27192 29458 32136 38946 44187 51928 54384 58916 64272 71401 77892 84383 88374 103856 117832 142802 155784 168766 176748 214203 235664 253149 285604 311568 337532 353496 428406 506298 571208 668573 675064 706992 856812 928213 1012596 1142416 1337146 1350128 1713624 1856426 2005719 2025192 2674292 2784639 3427248 3712852 4011438 4050384 5348584 5569278 7354303 7425704 8022876 8691449 10697168 11138556 14708606 14851408 16045752 17382898 22062909 22277112 26074347 29417212 32091504 34765796 44125818 44554224 52148694 58834424 69531592 88251636 95605939 104297388 117668848 139063184 176503272 191211878 208594776 286817817 353006544 382423756 417189552 573635634 764847512 1147271268 1529695024 2294542536 4589085072