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4148112 = 24389971
BaseRepresentation
bin1111110100101110010000
321210202010210
433310232100
52030214422
6224524120
750154423
oct17645620
97722123
104148112
1123835a1
121480640
13b23107
1479d9ba
1556e10c
hex3f4b90

4148112 has 40 divisors (see below), whose sum is σ = 10847520. Its totient is φ = 1365760.

The previous prime is 4148101. The next prime is 4148129. The reversal of 4148112 is 2118414.

It is a happy number.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3787 + ... + 4757.

It is an arithmetic number, because the mean of its divisors is an integer number (271188).

Almost surely, 24148112 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 4148112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423760).

4148112 is an abundant number, since it is smaller than the sum of its proper divisors (6699408).

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

4148112 is a wasteful number, since it uses less digits than its factorization.

4148112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 4148112 is about 2036.6914346557. The cubic root of 4148112 is about 160.6756842177.

The spelling of 4148112 in words is "four million, one hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 971 1068 1424 1942 2136 2913 3884 4272 5826 7768 11652 15536 23304 46608 86419 172838 259257 345676 518514 691352 1037028 1382704 2074056 4148112