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4082112 = 263219373
BaseRepresentation
bin1111100100100111000000
321200101121100
433210213000
52021111422
6223254400
746461126
oct17444700
97611540
104082112
112338a51
12144a400
13acc068
14783916
155597ac
hex3e49c0

4082112 has 84 divisors (see below), whose sum is σ = 12349480. Its totient is φ = 1285632.

The previous prime is 4082107. The next prime is 4082123. The reversal of 4082112 is 2112804.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10758 + ... + 11130.

Almost surely, 24082112 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 4082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174740).

4082112 is an abundant number, since it is smaller than the sum of its proper divisors (8267368).

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

4082112 is a wasteful number, since it uses less digits than its factorization.

4082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4082112 is about 2020.4237179364. The cubic root of 4082112 is about 159.8189619015.

Adding to 4082112 its reverse (2112804), we get a palindrome (6194916).

The spelling of 4082112 in words is "four million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 373 456 576 608 684 746 912 1119 1216 1368 1492 1824 2238 2736 2984 3357 3648 4476 5472 5968 6714 7087 8952 10944 11936 13428 14174 17904 21261 23872 26856 28348 35808 42522 53712 56696 63783 71616 85044 107424 113392 127566 170088 214848 226784 255132 340176 453568 510264 680352 1020528 1360704 2041056 4082112