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42442752 = 213311157
BaseRepresentation
bin1010000111101…
…0000000000000
32221212022111210
42201322000000
541331132002
64113410120
71023520542
oct241720000
987768453
1042442752
1121a59960
1212269940
138a40671
1458cb692
153ad596c
hex287a000

42442752 has 112 divisors (see below), whose sum is σ = 124248672. Its totient is φ = 12779520.

The previous prime is 42442733. The next prime is 42442769. The reversal of 42442752 is 25724424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270258 + ... + 270414.

Almost surely, 242442752 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 42442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62124336).

42442752 is an abundant number, since it is smaller than the sum of its proper divisors (81805920).

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

42442752 is a wasteful number, since it uses less digits than its factorization.

42442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its digits is 17920, while the sum is 30.

The square root of 42442752 is about 6514.8102044496. The cubic root of 42442752 is about 348.8198400745.

It can be divided in two parts, 4244 and 2752, that added together give a palindrome (6996).

The spelling of 42442752 in words is "forty-two million, four hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 157 176 192 256 264 314 352 384 471 512 528 628 704 768 942 1024 1056 1256 1408 1536 1727 1884 2048 2112 2512 2816 3072 3454 3768 4096 4224 5024 5181 5632 6144 6908 7536 8192 8448 10048 10362 11264 12288 13816 15072 16896 20096 20724 22528 24576 27632 30144 33792 40192 41448 45056 55264 60288 67584 80384 82896 90112 110528 120576 135168 160768 165792 221056 241152 270336 321536 331584 442112 482304 643072 663168 884224 964608 1286144 1326336 1768448 1929216 2652672 3536896 3858432 5305344 7073792 10610688 14147584 21221376 42442752