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4206928 = 241124153
BaseRepresentation
bin10000000011000101010000
321220201211011
4100003011100
52034110203
6230100304
750521045
oct20030520
97821734
104206928
112413800
1214aa694
13b43b0b
147b71cc
1558176d
hex403150

4206928 has 60 divisors (see below), whose sum is σ = 9350964. Its totient is φ = 1830400.

The previous prime is 4206901. The next prime is 4206929. The reversal of 4206928 is 8296024.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 2795584 = 1188^2 + 1672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4206928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79350 + ... + 79402.

Almost surely, 24206928 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 4206928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675482).

4206928 is an abundant number, since it is smaller than the sum of its proper divisors (5144036).

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

4206928 is a wasteful number, since it uses less digits than its factorization.

4206928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4206928 is about 2051.0797156620. The cubic root of 4206928 is about 161.4315288346.

The spelling of 4206928 in words is "four million, two hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 41 44 53 82 88 106 121 164 176 212 242 328 424 451 484 583 656 848 902 968 1166 1804 1936 2173 2332 3608 4346 4664 4961 6413 7216 8692 9328 9922 12826 17384 19844 23903 25652 34768 39688 47806 51304 79376 95612 102608 191224 262933 382448 525866 1051732 2103464 4206928