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42787878 = 2373171223
BaseRepresentation
bin1010001100111…
…0010000100110
32222111211221020
42203032100212
541423203003
64125032010
71026456000
oct243162046
988454836
1042787878
1122175191
12123b5606
138b31793
14597b370
153b52d53
hex28ce426

42787878 has 64 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 11496576.

The previous prime is 42787853. The next prime is 42787891. The reversal of 42787878 is 87878724.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42787878.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34375 + ... + 35597.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 242787878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42787878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

42787878 is an abundant number, since it is smaller than the sum of its proper divisors (62965722).

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

42787878 is a wasteful number, since it uses less digits than its factorization.

42787878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1252 counting only the distinct ones).

The product of its digits is 1404928, while the sum is 51.

The square root of 42787878 is about 6541.2443770280. The cubic root of 42787878 is about 349.7627725787.

The spelling of 42787878 in words is "forty-two million, seven hundred eighty-seven thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 357 686 714 833 1029 1223 1666 2058 2446 2499 3669 4998 5831 7338 8561 11662 17122 17493 20791 25683 34986 41582 51366 59927 62373 119854 124746 145537 179781 291074 359562 419489 436611 838978 873222 1018759 1258467 2037518 2516934 3056277 6112554 7131313 14262626 21393939 42787878