Search a number
-
+
2052092896 = 257291033067
BaseRepresentation
bin111101001010000…
…0111001111100000
312022000101010020121
41322110013033200
513200313433041
6535343250024
7101565334060
oct17224071740
95260333217
102052092896
11963397847
124932a9914
132691b6269
141567793a0
15c02527d1
hex7a5073e0

2052092896 has 96 divisors (see below), whose sum is σ = 4824368640. Its totient is φ = 840623616.

The previous prime is 2052092893. The next prime is 2052092947. The reversal of 2052092896 is 6982902502.

It is a super-2 number, since 2×20520928962 = 8422170507627333632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052092893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667555 + ... + 670621.

It is an arithmetic number, because the mean of its divisors is an integer number (50253840).

Almost surely, 22052092896 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 2052092896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412184320).

2052092896 is an abundant number, since it is smaller than the sum of its proper divisors (2772275744).

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

2052092896 is a wasteful number, since it uses less digits than its factorization.

2052092896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 2052092896 is about 45300.0319646686. The cubic root of 2052092896 is about 1270.7662509651.

The spelling of 2052092896 in words is "two billion, fifty-two million, ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 103 112 116 203 206 224 232 406 412 464 721 812 824 928 1442 1624 1648 2884 2987 3067 3248 3296 5768 5974 6134 6496 11536 11948 12268 20909 21469 23072 23896 24536 41818 42938 47792 49072 83636 85876 88943 95584 98144 167272 171752 177886 315901 334544 343504 355772 622601 631802 669088 687008 711544 1245202 1263604 1423088 2211307 2490404 2527208 2846176 4422614 4980808 5054416 8845228 9161129 9961616 10108832 17690456 18322258 19923232 35380912 36644516 64127903 70761824 73289032 128255806 146578064 256511612 293156128 513023224 1026046448 2052092896