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4200416 = 251111933
BaseRepresentation
bin10000000001011111100000
321220101212222
4100001133200
52033403131
6230010212
750463053
oct20013740
97811788
104200416
112409920
1214a6968
13b40b6c
147b4a9a
1557e87b
hex4017e0

4200416 has 24 divisors (see below), whose sum is σ = 9022104. Its totient is φ = 1909120.

The previous prime is 4200403. The next prime is 4200419. The reversal of 4200416 is 6140024.

It is a junction number, because it is equal to n+sod(n) for n = 4200394 and 4200403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5615 + ... + 6318.

It is an arithmetic number, because the mean of its divisors is an integer number (375921).

Almost surely, 24200416 is an apocalyptic number.

It is an amenable number.

4200416 is an abundant number, since it is smaller than the sum of its proper divisors (4821688).

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

4200416 is a wasteful number, since it uses less digits than its factorization.

4200416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4200416 is about 2049.4916442865. The cubic root of 4200416 is about 161.3481913021.

The spelling of 4200416 in words is "four million, two hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 11933 23866 47732 95464 131263 190928 262526 381856 525052 1050104 2100208 4200416