Search a number
-
+
895940352 = 283443207
BaseRepresentation
bin110101011001101…
…111011100000000
32022102212111010000
4311121233130000
53313330042402
6224523040000
731126236666
oct6531573400
92272774100
10895940352
1141a80a27a
12210070000
13113804928
1486dc0c36
15539c8c1c
hex3566f700

895940352 has 90 divisors (see below), whose sum is σ = 2671593848. Its totient is φ = 298639872.

The previous prime is 895940351. The next prime is 895940369. The reversal of 895940352 is 253049598.

895940352 is a `hidden beast` number, since 8 + 9 + 594 + 0 + 3 + 52 = 666.

895940352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8959403522 = 1605418228683767808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 895940298 and 895940307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895940351) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 868 + ... + 42339.

Almost surely, 2895940352 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 895940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335796924).

895940352 is an abundant number, since it is smaller than the sum of its proper divisors (1775653496).

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

895940352 is an equidigital number, since it uses as much as digits as its factorization.

895940352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43235 (or 43212 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 895940352 is about 29932.2627276990. The cubic root of 895940352 is about 964.0355123135.

The spelling of 895940352 in words is "eight hundred ninety-five million, nine hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 43207 86414 129621 172828 259242 345656 388863 518484 691312 777726 1036968 1166589 1382624 1555452 2073936 2333178 2765248 3110904 3499767 4147872 4666356 5530496 6221808 6999534 8295744 9332712 11060992 12443616 13999068 16591488 18665424 24887232 27998136 33182976 37330848 49774464 55996272 74661696 99548928 111992544 149323392 223985088 298646784 447970176 895940352