Search a number
-
+
112488048 = 243317353
BaseRepresentation
bin1101011010001…
…10111001110000
321211122222121000
412231012321300
5212244104143
615055002000
72534063331
oct655067160
9254588530
10112488048
1158550a32
1231809300
131a3c699a
1410d22288
159d1ebd3
hex6b46e70

112488048 has 160 divisors (see below), whose sum is σ = 349531200. Its totient is φ = 34624512.

The previous prime is 112488041. The next prime is 112488049. The reversal of 112488048 is 840884211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112488041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2122390 + ... + 2122442.

It is an arithmetic number, because the mean of its divisors is an integer number (2184570).

Almost surely, 2112488048 is an apocalyptic number.

112488048 is a gapful number since it is divisible by the number (18) 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 112488048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174765600).

112488048 is an abundant number, since it is smaller than the sum of its proper divisors (237043152).

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

112488048 is an equidigital number, since it uses as much as digits as its factorization.

112488048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 112488048 is about 10606.0382801497. The cubic root of 112488048 is about 482.7275960987.

The spelling of 112488048 in words is "one hundred twelve million, four hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 53 54 68 72 102 106 108 136 144 153 159 204 212 216 272 289 306 318 408 424 432 459 477 578 612 636 816 848 867 901 918 954 1156 1224 1272 1431 1734 1802 1836 1908 2312 2448 2544 2601 2703 2862 3468 3604 3672 3816 4624 4913 5202 5406 5724 6936 7208 7344 7632 7803 8109 9826 10404 10812 11448 13872 14416 14739 15317 15606 16218 19652 20808 21624 22896 24327 29478 30634 31212 32436 39304 41616 43248 44217 45951 48654 58956 61268 62424 64872 78608 88434 91902 97308 117912 122536 124848 129744 132651 137853 176868 183804 194616 235824 245072 260389 265302 275706 353736 367608 389232 413559 520778 530604 551412 707472 735216 781167 827118 1041556 1061208 1102824 1562334 1654236 2083112 2122416 2205648 2343501 3124668 3308472 4166224 4687002 6249336 6616944 7030503 9374004 12498672 14061006 18748008 28122012 37496016 56244024 112488048