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4105992 = 23311103151
BaseRepresentation
bin1111101010011100001000
321201121100210
433222130020
52022342432
6224001120
746620552
oct17523410
97647323
104105992
112354990
1214601a0
13b09ba7
1478c4d2
155618cc
hex3ea708

4105992 has 64 divisors (see below), whose sum is σ = 11381760. Its totient is φ = 1224000.

The previous prime is 4105979. The next prime is 4105999. The reversal of 4105992 is 2995014.

It is a happy number.

4105992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4105999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27117 + ... + 27267.

It is an arithmetic number, because the mean of its divisors is an integer number (177840).

Almost surely, 24105992 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 4105992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690880).

4105992 is an abundant number, since it is smaller than the sum of its proper divisors (7275768).

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

4105992 is a wasteful number, since it uses less digits than its factorization.

4105992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 4105992 is about 2026.3247518599. The cubic root of 4105992 is about 160.1299985155.

The spelling of 4105992 in words is "four million, one hundred five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 151 206 264 302 309 412 453 604 618 824 906 1133 1208 1236 1661 1812 2266 2472 3322 3399 3624 4532 4983 6644 6798 9064 9966 13288 13596 15553 19932 27192 31106 39864 46659 62212 93318 124424 171083 186636 342166 373272 513249 684332 1026498 1368664 2052996 4105992