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4101872 = 2419103131
BaseRepresentation
bin1111101001011011110000
321201101201012
433221123300
52022224442
6223530052
746602545
oct17513360
97641635
104101872
112351885
121459928
13b08058
1478abcc
15560582
hex3e96f0

4101872 has 40 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 1909440.

The previous prime is 4101869. The next prime is 4101907. The reversal of 4101872 is 2781014.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31247 + ... + 31377.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 24101872 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 4101872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).

4101872 is an abundant number, since it is smaller than the sum of its proper divisors (4409488).

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

4101872 is a wasteful number, since it uses less digits than its factorization.

4101872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 4101872 is about 2025.3078778299. The cubic root of 4101872 is about 160.0764218257.

Adding to 4101872 its reverse (2781014), we get a palindrome (6882886).

The spelling of 4101872 in words is "four million, one hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 76 103 131 152 206 262 304 412 524 824 1048 1648 1957 2096 2489 3914 4978 7828 9956 13493 15656 19912 26986 31312 39824 53972 107944 215888 256367 512734 1025468 2050936 4101872