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805238112 = 25378314437
BaseRepresentation
bin101111111111101…
…111010101100000
32002010012100000210
4233333233111200
53122120104422
6211523014120
725645260660
oct5777572540
92063170023
10805238112
11383599348
121a580a340
13caa98173
1478d301a0
154aa5e10c
hex2ffef560

805238112 has 96 divisors (see below), whose sum is σ = 2444988672. Its totient is φ = 227280384.

The previous prime is 805238101. The next prime is 805238131. The reversal of 805238112 is 211832508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 805238112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48558 + ... + 62994.

It is an arithmetic number, because the mean of its divisors is an integer number (25468632).

Almost surely, 2805238112 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 805238112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222494336).

805238112 is an abundant number, since it is smaller than the sum of its proper divisors (1639750560).

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

805238112 is a wasteful number, since it uses less digits than its factorization.

805238112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14540 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 805238112 is about 28376.7177806032. The cubic root of 805238112 is about 930.3394575347.

It can be divided in two parts, 8052 and 38112, that added together give a palindrome (46164).

The spelling of 805238112 in words is "eight hundred five million, two hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3984 4648 6972 7968 9296 13944 14437 18592 27888 28874 43311 55776 57748 86622 101059 115496 173244 202118 230992 303177 346488 404236 461984 606354 692976 808472 1198271 1212708 1385952 1616944 2396542 2425416 3233888 3594813 4793084 4850832 7189626 8387897 9586168 9701664 14379252 16775794 19172336 25163691 28758504 33551588 38344672 50327382 57517008 67103176 100654764 115034016 134206352 201309528 268412704 402619056 805238112