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4242924 = 22327113149
BaseRepresentation
bin10000001011110111101100
321222120012100
4100023313230
52041233144
6230535100
751031020
oct20136754
97876170
104242924
112438854
121507490
13b5730a
147c6380
1558c269
hex40bdec

4242924 has 72 divisors (see below), whose sum is σ = 12448800. Its totient is φ = 1193472.

The previous prime is 4242923. The next prime is 4242929. The reversal of 4242924 is 4292424.

4242924 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

4242924 is strictly pandigital in base 8.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28402 + ... + 28550.

It is an arithmetic number, because the mean of its divisors is an integer number (172900).

Almost surely, 24242924 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 4242924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224400).

4242924 is an abundant number, since it is smaller than the sum of its proper divisors (8205876).

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

4242924 is a wasteful number, since it uses less digits than its factorization.

4242924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4242924 is about 2059.8359157952. The cubic root of 4242924 is about 161.8906440757.

The spelling of 4242924 in words is "four million, two hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 149 226 252 298 339 447 452 596 678 791 894 1017 1043 1341 1356 1582 1788 2034 2086 2373 2682 3129 3164 4068 4172 4746 5364 6258 7119 9387 9492 12516 14238 16837 18774 28476 33674 37548 50511 67348 101022 117859 151533 202044 235718 303066 353577 471436 606132 707154 1060731 1414308 2121462 4242924