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4141928 = 237371999
BaseRepresentation
bin1111110011001101101000
321210102122202
433303031220
52030020203
6224435332
750130410
oct17631550
97712582
104141928
11237998a
121478b48
13b2035b
1479b640
1556c388
hex3f3368

4141928 has 32 divisors (see below), whose sum is σ = 9120000. Its totient is φ = 1726272.

The previous prime is 4141919. The next prime is 4141937. The reversal of 4141928 is 8291414.

It is an interprime number because it is at equal distance from previous prime (4141919) and next prime (4141937).

It is a self number, because there is not a number n which added to its sum of digits gives 4141928.

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, 1073 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (285000).

Almost surely, 24141928 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 4141928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560000).

4141928 is an abundant number, since it is smaller than the sum of its proper divisors (4978072).

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

4141928 is a wasteful number, since it uses less digits than its factorization.

4141928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2045 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 4141928 is about 2035.1727199430. The cubic root of 4141928 is about 160.5957994732.

The spelling of 4141928 in words is "four million, one hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 1999 2072 3998 7996 13993 15992 27986 55972 73963 111944 147926 295852 517741 591704 1035482 2070964 4141928