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4101468 = 2237157311
BaseRepresentation
bin1111101001010101011100
321201101011020
433221111130
52022221333
6223524140
746601430
oct17512534
97641136
104101468
112351548
121459650
13b07b07
1478a9c0
155603b3
hex3e955c

4101468 has 48 divisors (see below), whose sum is σ = 11042304. Its totient is φ = 1160640.

The previous prime is 4101467. The next prime is 4101481. The reversal of 4101468 is 8641014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13033 + ... + 13343.

It is an arithmetic number, because the mean of its divisors is an integer number (230048).

Almost surely, 24101468 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 4101468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521152).

4101468 is an abundant number, since it is smaller than the sum of its proper divisors (6940836).

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

4101468 is a wasteful number, since it uses less digits than its factorization.

4101468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4101468 is about 2025.2081374516. The cubic root of 4101468 is about 160.0711662580.

The spelling of 4101468 in words is "four million, one hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 311 314 471 622 628 933 942 1099 1244 1866 1884 2177 2198 3297 3732 4354 4396 6531 6594 8708 13062 13188 26124 48827 97654 146481 195308 292962 341789 585924 683578 1025367 1367156 2050734 4101468