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488411112 = 233719532887
BaseRepresentation
bin11101000111001…
…000111111101000
31021001000212002110
4131013020333220
52000013123422
6120244202320
715050266050
oct3507107750
91231025073
10488411112
11230771552
121176993a0
137a258277
1448c1a560
152cd2960c
hex1d1c8fe8

488411112 has 128 divisors (see below), whose sum is σ = 1497139200. Its totient is φ = 129662208.

The previous prime is 488411089. The next prime is 488411113. The reversal of 488411112 is 211114884.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 488411112.

It is not an unprimeable number, because it can be changed into a prime (488411113) 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, 167733 + ... + 170619.

It is an arithmetic number, because the mean of its divisors is an integer number (11696400).

Almost surely, 2488411112 is an apocalyptic number.

488411112 is a gapful number since it is divisible by the number (42) 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 488411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748569600).

488411112 is an abundant number, since it is smaller than the sum of its proper divisors (1008728088).

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

488411112 is a wasteful number, since it uses less digits than its factorization.

488411112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2971 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 488411112 is about 22100.0251583567. The cubic root of 488411112 is about 787.5204594332.

Adding to 488411112 its reverse (211114884), we get a palindrome (699525996).

The spelling of 488411112 in words is "four hundred eighty-eight million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 84 106 114 133 152 159 168 212 228 266 318 371 399 424 456 532 636 742 798 1007 1064 1113 1272 1484 1596 2014 2226 2887 2968 3021 3192 4028 4452 5774 6042 7049 8056 8661 8904 11548 12084 14098 17322 20209 21147 23096 24168 28196 34644 40418 42294 54853 56392 60627 69288 80836 84588 109706 121254 153011 161672 164559 169176 219412 242508 306022 329118 383971 438824 459033 485016 612044 658236 767942 918066 1071077 1151913 1224088 1316472 1535884 1836132 2142154 2303826 2907209 3071768 3213231 3672264 4284308 4607652 5814418 6426462 8568616 8721627 9215304 11628836 12852924 17443254 20350463 23257672 25705848 34886508 40700926 61051389 69773016 81401852 122102778 162803704 244205556 488411112