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4145024 = 27134753
BaseRepresentation
bin1111110011111110000000
321210120220102
433303332000
52030120044
6224501532
750142422
oct17637600
97716812
104145024
112381244
12147a8a8
13b218a0
1479c812
1556d24e
hex3f3f80

4145024 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 1837056.

The previous prime is 4145023. The next prime is 4145027. The reversal of 4145024 is 4205414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4144987 and 4145005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145023) 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 7 ways as a sum of consecutive naturals, for example, 78182 + ... + 78234.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 24145024 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 4145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

4145024 is an abundant number, since it is smaller than the sum of its proper divisors (5108416).

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

4145024 is a wasteful number, since it uses less digits than its factorization.

4145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4145024 is about 2035.9332012618. The cubic root of 4145024 is about 160.6358034490.

The spelling of 4145024 in words is "four million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 53 64 94 104 106 128 188 208 212 376 416 424 611 689 752 832 848 1222 1378 1504 1664 1696 2444 2491 2756 3008 3392 4888 4982 5512 6016 6784 9776 9964 11024 19552 19928 22048 32383 39104 39856 44096 64766 78208 79712 88192 129532 159424 259064 318848 518128 1036256 2072512 4145024