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42271104 = 273315367
BaseRepresentation
bin1010000101000…
…0000110000000
32221112121001110
42201100012000
541310133404
64110003320
71022204241
oct241200600
987477043
1042271104
11219519a7
12121a6540
1389b04b5
145884cc8
153a9eb89
hex2850180

42271104 has 128 divisors (see below), whose sum is σ = 119854080. Its totient is φ = 13178880.

The previous prime is 42271069. The next prime is 42271121. The reversal of 42271104 is 40117224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630879 + ... + 630945.

It is an arithmetic number, because the mean of its divisors is an integer number (936360).

Almost surely, 242271104 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 42271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59927040).

42271104 is an abundant number, since it is smaller than the sum of its proper divisors (77582976).

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

42271104 is a wasteful number, since it uses less digits than its factorization.

42271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 42271104 is about 6501.6231819446. The cubic root of 42271104 is about 348.3489695343.

Adding to 42271104 its reverse (40117224), we get a palindrome (82388328).

The spelling of 42271104 in words is "forty-two million, two hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 67 93 96 106 124 128 134 159 186 192 201 212 248 268 318 372 384 402 424 496 536 636 744 804 848 992 1072 1272 1488 1608 1643 1696 1984 2077 2144 2544 2976 3216 3286 3392 3551 3968 4154 4288 4929 5088 5952 6231 6432 6572 6784 7102 8308 8576 9858 10176 10653 11904 12462 12864 13144 14204 16616 19716 20352 21306 24924 25728 26288 28408 33232 39432 42612 49848 52576 56816 66464 78864 85224 99696 105152 110081 113632 132928 157728 170448 199392 210304 220162 227264 265856 315456 330243 340896 398784 440324 454528 630912 660486 681792 797568 880648 1320972 1363584 1761296 2641944 3522592 5283888 7045184 10567776 14090368 21135552 42271104