Search a number
-
+
2150939952 = 243277927011
BaseRepresentation
bin1000000000110100…
…1011110100110000
312112220101001220200
42000031023310300
513401120034302
6553234035200
7104205454650
oct20015136460
95486331820
102150939952
11a04171027
12500418b00
13283815045
1416594a360
15c8c7a81c
hex8034bd30

2150939952 has 120 divisors (see below), whose sum is σ = 6966935040. Its totient is φ = 606752640.

The previous prime is 2150939939. The next prime is 2150939953. The reversal of 2150939952 is 2599390512.

2150939952 is a `hidden beast` number, since 2 + 1 + 509 + 3 + 99 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2150939898 and 2150939907.

It is not an unprimeable number, because it can be changed into a prime (2150939953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66127 + ... + 93137.

It is an arithmetic number, because the mean of its divisors is an integer number (58057792).

Almost surely, 22150939952 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 2150939952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483467520).

2150939952 is an abundant number, since it is smaller than the sum of its proper divisors (4815995088).

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

2150939952 is a wasteful number, since it uses less digits than its factorization.

2150939952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27111 (or 27102 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 2150939952 is about 46378.2271329985. The cubic root of 2150939952 is about 1290.8509402719.

The spelling of 2150939952 in words is "two billion, one hundred fifty million, nine hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 112 126 144 158 168 237 252 316 336 474 504 553 632 711 948 1008 1106 1264 1422 1659 1896 2212 2844 3318 3792 4424 4977 5688 6636 8848 9954 11376 13272 19908 26544 27011 39816 54022 79632 81033 108044 162066 189077 216088 243099 324132 378154 432176 486198 567231 648264 756308 972396 1134462 1296528 1512616 1701693 1944792 2133869 2268924 3025232 3403386 3889584 4267738 4537848 6401607 6806772 8535476 9075696 12803214 13613544 14937083 17070952 19204821 25606428 27227088 29874166 34141904 38409642 44811249 51212856 59748332 76819284 89622498 102425712 119496664 134433747 153638568 179244996 238993328 268867494 307277136 358489992 537734988 716979984 1075469976 2150939952