Search a number
-
+
5852319040 = 26561729641
BaseRepresentation
bin1010111001101001…
…10100110101000000
3120002212011121111001
411130310310311000
543441143202130
62404415301344
7265011614431
oct53464646500
916085147431
105852319040
112533532a07
121173b1a854
137235cc599
143d7369488
15243bb56ca
hex15cd34d40

5852319040 has 56 divisors (see below), whose sum is σ = 13958892072. Its totient is φ = 2337054720.

The previous prime is 5852319023. The next prime is 5852319047. The reversal of 5852319040 is 409132585.

It can be written as a sum of positive squares in 4 ways, for example, as 481188096 + 5371130944 = 21936^2 + 73288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5852319047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182620 + ... + 212260.

Almost surely, 25852319040 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 5852319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979446036).

5852319040 is an abundant number, since it is smaller than the sum of its proper divisors (8106573032).

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

5852319040 is a wasteful number, since it uses less digits than its factorization.

5852319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30275 (or 30265 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 5852319040 is about 76500.4512404992. The cubic root of 5852319040 is about 1802.0880131669.

The spelling of 5852319040 in words is "five billion, eight hundred fifty-two million, three hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 617 1234 2468 3085 4936 6170 9872 12340 19744 24680 29641 39488 49360 59282 98720 118564 148205 197440 237128 296410 474256 592820 948512 1185640 1897024 2371280 4742560 9485120 18288497 36576994 73153988 91442485 146307976 182884970 292615952 365769940 585231904 731539880 1170463808 1463079760 2926159520 5852319040