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42760704 = 29374197
BaseRepresentation
bin1010001100011…
…1101000000000
32222110110122210
42203013220000
541421320304
64124302120
71026313530
oct243075000
988413583
1042760704
1122156828
12123a1940
138b222bc
1459714c0
153b49c89
hex28c7a00

42760704 has 160 divisors (see below), whose sum is σ = 134741376. Its totient is φ = 11796480.

The previous prime is 42760693. The next prime is 42760717. The reversal of 42760704 is 40706724.

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, 440784 + ... + 440880.

Almost surely, 242760704 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 42760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67370688).

42760704 is an abundant number, since it is smaller than the sum of its proper divisors (91980672).

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

42760704 is an equidigital number, since it uses as much as digits as its factorization.

42760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 42760704 is about 6539.1669194172. The cubic root of 42760704 is about 349.6887137035.

The spelling of 42760704 in words is "forty-two million, seven hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 97 112 123 128 164 168 192 194 224 246 256 287 291 328 336 384 388 448 492 512 574 582 656 672 679 768 776 861 896 984 1148 1164 1312 1344 1358 1536 1552 1722 1792 1968 2037 2296 2328 2624 2688 2716 3104 3444 3584 3936 3977 4074 4592 4656 5248 5376 5432 6208 6888 7872 7954 8148 9184 9312 10496 10752 10864 11931 12416 13776 15744 15908 16296 18368 18624 20992 21728 23862 24832 27552 27839 31488 31816 32592 36736 37248 43456 47724 49664 55104 55678 62976 63632 65184 73472 74496 83517 86912 95448 110208 111356 127264 130368 146944 148992 167034 173824 190896 220416 222712 254528 260736 334068 347648 381792 440832 445424 509056 521472 668136 763584 890848 1018112 1042944 1336272 1527168 1781696 2036224 2672544 3054336 3563392 5345088 6108672 7126784 10690176 14253568 21380352 42760704