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855549952 = 2112341443
BaseRepresentation
bin110010111111101…
…010100000000000
32012121212102220021
4302333222200000
53223010044302
6220521223224
730126024505
oct6277524000
92177772807
10855549952
113a9a32384
121ba631b14
1310833249a
14818a94ac
155019b437
hex32fea800

855549952 has 96 divisors (see below), whose sum is σ = 1832725440. Its totient is φ = 398295040.

The previous prime is 855549943. The next prime is 855549953. The reversal of 855549952 is 259945558.

It is a self number, because there is not a number n which added to its sum of digits gives 855549952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855549953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1931043 + ... + 1931485.

It is an arithmetic number, because the mean of its divisors is an integer number (19090890).

Almost surely, 2855549952 is an apocalyptic number.

855549952 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916362720).

855549952 is an abundant number, since it is smaller than the sum of its proper divisors (977175488).

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

855549952 is a wasteful number, since it uses less digits than its factorization.

855549952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 52.

The square root of 855549952 is about 29249.7855034870. The cubic root of 855549952 is about 949.3254498637.

The spelling of 855549952 in words is "eight hundred fifty-five million, five hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 256 328 368 443 512 656 736 886 943 1024 1312 1472 1772 1886 2048 2624 2944 3544 3772 5248 5888 7088 7544 10189 10496 11776 14176 15088 18163 20378 20992 23552 28352 30176 36326 40756 41984 47104 56704 60352 72652 81512 83968 113408 120704 145304 163024 226816 241408 290608 326048 417749 453632 482816 581216 652096 835498 907264 965632 1162432 1304192 1670996 1931264 2324864 2608384 3341992 4649728 5216768 6683984 9299456 10433536 13367968 18598912 20867072 26735936 37197824 53471872 106943744 213887488 427774976 855549952