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42795676 = 227111971103
BaseRepresentation
bin1010001101000…
…0001010011100
32222112020122001
42203100022130
541423430201
64125132044
71026520510
oct243201234
988466561
1042795676
1122180030
12123ba024
138b351b1
145980140
153b55301
hex28d029c

42795676 has 96 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 15422400.

The previous prime is 42795673. The next prime is 42795691. The reversal of 42795676 is 67659724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42795673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415441 + ... + 415543.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 242795676 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 42795676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

42795676 is an abundant number, since it is smaller than the sum of its proper divisors (57843044).

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

42795676 is a wasteful number, since it uses less digits than its factorization.

42795676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The square root of 42795676 is about 6541.8404138285. The cubic root of 42795676 is about 349.7840191291.

The spelling of 42795676 in words is "forty-two million, seven hundred ninety-five thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 71 76 77 103 133 142 154 206 209 266 284 308 412 418 497 532 721 781 836 994 1133 1349 1442 1463 1562 1957 1988 2266 2698 2884 2926 3124 3914 4532 5396 5467 5852 7313 7828 7931 9443 10934 13699 14626 14839 15862 18886 21527 21868 27398 29252 29678 31724 37772 43054 51191 54796 59356 80443 86108 102382 103873 138947 150689 160886 204764 207746 277894 301378 321772 415492 555788 563101 602756 972629 1126202 1528417 1945258 2252404 3056834 3890516 6113668 10698919 21397838 42795676