Search a number
-
+
8942375000 = 2356135503
BaseRepresentation
bin10000101010000000…
…11101000001011000
3212002012122201101002
420111000131001120
5121303222000000
64035202044132
7434412635066
oct102500350130
925065581332
108942375000
113879812769
121896949648
13ac6855370
1460b8d5036
153750e78d5
hex21501d058

8942375000 has 112 divisors (see below), whose sum is σ = 22574711040. Its totient is φ = 3301200000.

The previous prime is 8942374963. The next prime is 8942375009. The reversal of 8942375000 is 5732498.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8942375009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1622249 + ... + 1627751.

It is an arithmetic number, because the mean of its divisors is an integer number (201559920).

Almost surely, 28942375000 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 8942375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11287355520).

8942375000 is an abundant number, since it is smaller than the sum of its proper divisors (13632336040).

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

8942375000 is an equidigital number, since it uses as much as digits as its factorization.

8942375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 8942375000 is about 94564.1316779253. The cubic root of 8942375000 is about 2075.6348761328.

The spelling of 8942375000 in words is "eight billion, nine hundred forty-two million, three hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3125 3250 5000 5503 6250 6500 8125 11006 12500 13000 15625 16250 22012 25000 27515 31250 32500 40625 44024 55030 62500 65000 71539 81250 110060 125000 137575 143078 162500 203125 220120 275150 286156 325000 357695 406250 550300 572312 687875 715390 812500 1100600 1375750 1430780 1625000 1788475 2751500 2861560 3439375 3576950 5503000 6878750 7153900 8942375 13757500 14307800 17196875 17884750 27515000 34393750 35769500 44711875 68787500 71539000 85984375 89423750 137575000 171968750 178847500 223559375 343937500 357695000 447118750 687875000 894237500 1117796875 1788475000 2235593750 4471187500 8942375000