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4141392 = 243192239
BaseRepresentation
bin1111110011000101010000
321210101220220
433303011100
52030011032
6224433040
750126013
oct17630520
97711826
104141392
112379542
121478780
13b20038
1479b37a
1556c12c
hex3f3150

4141392 has 60 divisors (see below), whose sum is σ = 11338560. Its totient is φ = 1302336.

The previous prime is 4141391. The next prime is 4141399. The reversal of 4141392 is 2931414.

4141392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41413922 = 34302255395328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (864) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141391) 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 11 ways as a sum of consecutive naturals, for example, 17209 + ... + 17447.

It is an arithmetic number, because the mean of its divisors is an integer number (188976).

Almost surely, 24141392 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 4141392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

4141392 is an abundant number, since it is smaller than the sum of its proper divisors (7197168).

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

4141392 is a wasteful number, since it uses less digits than its factorization.

4141392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 4141392 is about 2035.0410315274. The cubic root of 4141392 is about 160.5888716961.

The spelling of 4141392 in words is "four million, one hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 239 304 361 456 478 717 722 912 956 1083 1434 1444 1912 2166 2868 2888 3824 4332 4541 5736 5776 8664 9082 11472 13623 17328 18164 27246 36328 54492 72656 86279 108984 172558 217968 258837 345116 517674 690232 1035348 1380464 2070696 4141392