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42811104 = 2537219479
BaseRepresentation
bin1010001101001…
…1111011100000
32222120000210110
42203103323200
541424423404
64125331320
71026613500
oct243237340
988500713
1042811104
1122190686
1212406b40
138b3c21b
145985a00
153b59b89
hex28d3ee0

42811104 has 144 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 11563776.

The previous prime is 42811079. The next prime is 42811133. The reversal of 42811104 is 40111824.

It is a happy number.

42811104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89137 + ... + 89615.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 242811104 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 42811104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

42811104 is an abundant number, since it is smaller than the sum of its proper divisors (95083296).

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

42811104 is a wasteful number, since it uses less digits than its factorization.

42811104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 42811104 is about 6543.0194864451. The cubic root of 42811104 is about 349.8260468914.

Adding to 42811104 its reverse (40111824), we get a palindrome (82922928).

The spelling of 42811104 in words is "forty-two million, eight hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 479 532 588 608 672 784 798 912 931 958 1064 1176 1437 1568 1596 1824 1862 1916 2128 2352 2793 2874 3192 3353 3724 3832 4256 4704 5586 5748 6384 6706 7448 7664 9101 10059 11172 11496 12768 13412 14896 15328 18202 20118 22344 22992 23471 26824 27303 29792 36404 40236 44688 45984 46942 53648 54606 63707 70413 72808 80472 89376 93884 107296 109212 127414 140826 145616 160944 187768 191121 218424 254828 281652 291232 321888 375536 382242 436848 445949 509656 563304 751072 764484 873696 891898 1019312 1126608 1337847 1528968 1783796 2038624 2253216 2675694 3057936 3567592 5351388 6115872 7135184 10702776 14270368 21405552 42811104