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42644224 = 28753449
BaseRepresentation
bin1010001010101…
…1001100000000
32222020112212201
42202223030000
541404103344
64122002544
71025320120
oct242531400
988215781
1042644224
1122087267
1212346454
138ab128c
145940c80
153b254d4
hex28ab300

42644224 has 72 divisors (see below), whose sum is σ = 99338400. Its totient is φ = 17891328.

The previous prime is 42644219. The next prime is 42644237. The reversal of 42644224 is 42244624.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42644192 and 42644201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94752 + ... + 95200.

It is an arithmetic number, because the mean of its divisors is an integer number (1379700).

Almost surely, 242644224 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 42644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49669200).

42644224 is an abundant number, since it is smaller than the sum of its proper divisors (56694176).

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

42644224 is an equidigital number, since it uses as much as digits as its factorization.

42644224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 42644224 is about 6530.2545126511. The cubic root of 42644224 is about 349.3709080393.

Adding to 42644224 its reverse (42244624), we get a palindrome (84888848).

The spelling of 42644224 in words is "forty-two million, six hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 449 742 848 896 898 1484 1696 1792 1796 2968 3143 3392 3592 5936 6286 6784 7184 11872 12572 13568 14368 23744 23797 25144 28736 47488 47594 50288 57472 94976 95188 100576 114944 166579 190376 201152 333158 380752 402304 666316 761504 804608 1332632 1523008 2665264 3046016 5330528 6092032 10661056 21322112 42644224