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4141424 = 247103359
BaseRepresentation
bin1111110011000101110000
321210101222002
433303011300
52030011144
6224433132
750126060
oct17630560
97711862
104141424
112379571
1214787a8
13b20061
1479b3a0
1556c14e
hex3f3170

4141424 has 40 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 1752768.

The previous prime is 4141409. The next prime is 4141439. The reversal of 4141424 is 4241414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4141409) and next prime (4141439).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4141396 and 4141405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11357 + ... + 11715.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 24141424 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 4141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

4141424 is an abundant number, since it is smaller than the sum of its proper divisors (5143696).

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

4141424 is a wasteful number, since it uses less digits than its factorization.

4141424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 4141424 is about 2035.0488937615. The cubic root of 4141424 is about 160.5892853115.

Adding to 4141424 its reverse (4241414), we get a palindrome (8382838).

The spelling of 4141424 in words is "four million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 359 412 718 721 824 1436 1442 1648 2513 2872 2884 5026 5744 5768 10052 11536 20104 36977 40208 73954 147908 258839 295816 517678 591632 1035356 2070712 4141424