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4242928 = 241719821
BaseRepresentation
bin10000001011110111110000
321222120012111
4100023313300
52041233203
6230535104
751031024
oct20136760
97876174
104242928
112438858
121507494
13b57311
147c6384
1558c26d
hex40bdf0

4242928 has 40 divisors (see below), whose sum is σ = 9173520. Its totient is φ = 1889280.

The previous prime is 4242923. The next prime is 4242929. The reversal of 4242928 is 8292424.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4242928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4758 + ... + 5578.

It is an arithmetic number, because the mean of its divisors is an integer number (229338).

Almost surely, 24242928 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 4242928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586760).

4242928 is an abundant number, since it is smaller than the sum of its proper divisors (4930592).

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

4242928 is a wasteful number, since it uses less digits than its factorization.

4242928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 859 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 4242928 is about 2059.8368867461. The cubic root of 4242928 is about 161.8906949496.

The spelling of 4242928 in words is "four million, two hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 821 1292 1642 2584 3284 5168 6568 13136 13957 15599 27914 31198 55828 62396 111656 124792 223312 249584 265183 530366 1060732 2121464 4242928