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42676848 = 2433223443
BaseRepresentation
bin1010001011001…
…1001001110000
32222022012122000
42202303021300
541411124343
64122414000
71025514204
oct242631160
988265560
1042676848
11220a9825
1212361300
138ac3096
14594cb04
153b2eed3
hex28b3270

42676848 has 80 divisors (see below), whose sum is σ = 123325440. Its totient is φ = 14129856.

The previous prime is 42676847. The next prime is 42676861. The reversal of 42676848 is 84867624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42676847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96115 + ... + 96557.

It is an arithmetic number, because the mean of its divisors is an integer number (1541568).

Almost surely, 242676848 is an apocalyptic number.

42676848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42676848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61662720).

42676848 is an abundant number, since it is smaller than the sum of its proper divisors (80648592).

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

42676848 is a wasteful number, since it uses less digits than its factorization.

42676848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 671 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 42676848 is about 6532.7519469210. The cubic root of 42676848 is about 349.4599781025.

The spelling of 42676848 in words is "forty-two million, six hundred seventy-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 443 446 669 886 892 1329 1338 1772 1784 2007 2658 2676 3544 3568 3987 4014 5316 5352 6021 7088 7974 8028 10632 10704 11961 12042 15948 16056 21264 23922 24084 31896 32112 47844 48168 63792 95688 96336 98789 191376 197578 296367 395156 592734 790312 889101 1185468 1580624 1778202 2370936 2667303 3556404 4741872 5334606 7112808 10669212 14225616 21338424 42676848