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4242024 = 233341479
BaseRepresentation
bin10000001011101001101000
321222111222000
4100023221220
52041221044
6230531000
751025263
oct20135150
97874860
104242024
112438106
121506a60
13b56a97
147c5cda
1558bd69
hex40ba68

4242024 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1376640.

The previous prime is 4242023. The next prime is 4242031. The reversal of 4242024 is 4202424.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4241988 and 4242006.

It is not an unprimeable number, because it can be changed into a prime (4242023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8617 + ... + 9095.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 24242024 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 4242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4242024 is an abundant number, since it is smaller than the sum of its proper divisors (7853976).

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

4242024 is a wasteful number, since it uses less digits than its factorization.

4242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4242024 is about 2059.6174402058. The cubic root of 4242024 is about 161.8791966334.

Adding to 4242024 its reverse (4202424), we get a palindrome (8444448).

The spelling of 4242024 in words is "four million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 479 492 738 958 984 1107 1437 1476 1916 2214 2874 2952 3832 4311 4428 5748 8622 8856 11496 12933 17244 19639 25866 34488 39278 51732 58917 78556 103464 117834 157112 176751 235668 353502 471336 530253 707004 1060506 1414008 2121012 4242024