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4073424 = 243113751
BaseRepresentation
bin1111100010011111010000
321122221200120
433202133100
52020322144
6223150240
746423605
oct17423720
97587616
104073424
112332473
121445380
13ac8114
147806ac
15556e19
hex3e27d0

4073424 has 40 divisors (see below), whose sum is σ = 10630272. Its totient is φ = 1344000.

The previous prime is 4073423. The next prime is 4073437. The reversal of 4073424 is 4243704.

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

It is a junction number, because it is equal to n+sod(n) for n = 4073394 and 4073403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5049 + ... + 5799.

Almost surely, 24073424 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 4073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315136).

4073424 is an abundant number, since it is smaller than the sum of its proper divisors (6556848).

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

4073424 is a wasteful number, since it uses less digits than its factorization.

4073424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 4073424 is about 2018.2725286740. The cubic root of 4073424 is about 159.7054999349.

The spelling of 4073424 in words is "four million, seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 751 904 1356 1502 1808 2253 2712 3004 4506 5424 6008 9012 12016 18024 36048 84863 169726 254589 339452 509178 678904 1018356 1357808 2036712 4073424