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42247224 = 2333317617
BaseRepresentation
bin1010000100101…
…0010000111000
32221111101022000
42201022100320
541303402344
64105301000
71022044515
oct241122070
987441260
1042247224
1121935a68
1212194760
1389a2676
14587a30c
153a97a69
hex284a438

42247224 has 64 divisors (see below), whose sum is σ = 117914400. Its totient is φ = 14015232.

The previous prime is 42247223. The next prime is 42247237. The reversal of 42247224 is 42274224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42247223) 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, 68164 + ... + 68780.

Almost surely, 242247224 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 42247224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58957200).

42247224 is an abundant number, since it is smaller than the sum of its proper divisors (75667176).

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

42247224 is a wasteful number, since it uses less digits than its factorization.

42247224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 939 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 42247224 is about 6499.7864580308. The cubic root of 42247224 is about 348.2833601735.

Subtracting 42247224 from its reverse (42274224), we obtain a cube (27000 = 303).

The spelling of 42247224 in words is "forty-two million, two hundred forty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 317 617 634 951 1234 1268 1851 1902 2468 2536 2853 3702 3804 4936 5553 5706 7404 7608 8559 11106 11412 14808 16659 17118 22212 22824 33318 34236 44424 66636 68472 133272 195589 391178 586767 782356 1173534 1564712 1760301 2347068 3520602 4694136 5280903 7041204 10561806 14082408 21123612 42247224