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2852733072 = 243759151953
BaseRepresentation
bin1010101000001001…
…0100000010010000
321100210220212002110
42222002110002100
521320244424242
61151023545320
7130456555020
oct25202240220
97323825073
102852733072
111234325642
1267745b240
13366031647
141d0c2da80
1511a6a439c
hexaa094090

2852733072 has 160 divisors (see below), whose sum is σ = 8630876160. Its totient is φ = 795110400.

The previous prime is 2852733071. The next prime is 2852733101. The reversal of 2852733072 is 2703372582.

It is a self number, because there is not a number n which added to its sum of digits gives 2852733072.

It is not an unprimeable number, because it can be changed into a prime (2852733071) 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, 2992948 + ... + 2993900.

It is an arithmetic number, because the mean of its divisors is an integer number (53942976).

Almost surely, 22852733072 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 2852733072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315438080).

2852733072 is an abundant number, since it is smaller than the sum of its proper divisors (5778143088).

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

2852733072 is a wasteful number, since it uses less digits than its factorization.

2852733072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2852733072 is about 53410.9826908287. The cubic root of 2852733072 is about 1418.2530046689.

The spelling of 2852733072 in words is "two billion, eight hundred fifty-two million, seven hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 151 168 177 236 302 336 354 413 453 472 604 708 826 906 944 953 1057 1208 1239 1416 1652 1812 1906 2114 2416 2478 2832 2859 3171 3304 3624 3812 4228 4956 5718 6342 6608 6671 7248 7624 8456 8909 9912 11436 12684 13342 15248 16912 17818 19824 20013 22872 25368 26684 26727 35636 40026 45744 50736 53368 53454 56227 62363 71272 80052 106736 106908 112454 124726 142544 143903 160104 168681 187089 213816 224908 249452 287806 320208 337362 374178 393589 427632 431709 449816 498904 575612 674724 748356 787178 863418 899632 997808 1007321 1151224 1180767 1349448 1496712 1574356 1726836 2014642 2302448 2361534 2698896 2993424 3021963 3148712 3453672 4029284 4723068 6043926 6297424 6907344 8058568 8490277 9446136 12087852 16117136 16980554 18892272 24175704 25470831 33961108 48351408 50941662 59431939 67922216 101883324 118863878 135844432 178295817 203766648 237727756 356591634 407533296 475455512 713183268 950911024 1426366536 2852733072