Search a number
-
+
112893844 = 22722379317
BaseRepresentation
bin1101011101010…
…01111110010100
321212102121020111
412232221332110
5212400100334
615111412404
72540403400
oct656517624
9255377214
10112893844
11587a88a8
1231984104
131a5095bb
1410dca100
159da0064
hex6ba9f94

112893844 has 72 divisors (see below), whose sum is σ = 243613440. Its totient is φ = 45549504.

The previous prime is 112893841. The next prime is 112893857. The reversal of 112893844 is 448398211.

It is a junction number, because it is equal to n+sod(n) for n = 112893797 and 112893806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112893841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355974 + ... + 356290.

It is an arithmetic number, because the mean of its divisors is an integer number (3383520).

Almost surely, 2112893844 is an apocalyptic number.

112893844 is a gapful number since it is divisible by the number (14) 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 112893844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121806720).

112893844 is an abundant number, since it is smaller than the sum of its proper divisors (130719596).

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

112893844 is a wasteful number, since it uses less digits than its factorization.

112893844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 112893844 is about 10625.1514812731. The cubic root of 112893844 is about 483.3073727898.

The spelling of 112893844 in words is "one hundred twelve million, eight hundred ninety-three thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 49 79 92 98 158 161 196 316 317 322 553 634 644 1106 1127 1268 1817 2212 2219 2254 3634 3871 4438 4508 7268 7291 7742 8876 12719 14582 15484 15533 25043 25438 29164 31066 50086 50876 51037 62132 89033 100172 102074 175301 178066 204148 350602 356132 357259 575989 701204 714518 1151978 1227107 1429036 2303956 2454214 4031923 4908428 8063846 16127692 28223461 56446922 112893844