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42780712 = 23134179127
BaseRepresentation
bin1010001100110…
…0100000101000
32222111111002211
42203030200220
541422440322
64124534504
71026426052
oct243144050
988444084
1042780712
112216a867
12123b1434
138b2b440
1459788d2
153b50b77
hex28cc828

42780712 has 64 divisors (see below), whose sum is σ = 90316800. Its totient is φ = 18869760.

The previous prime is 42780707. The next prime is 42780779. The reversal of 42780712 is 21708724.

It is a zygodrome in base 3.

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, 336793 + ... + 336919.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 242780712 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 42780712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

42780712 is an abundant number, since it is smaller than the sum of its proper divisors (47536088).

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

42780712 is a wasteful number, since it uses less digits than its factorization.

42780712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 42780712 is about 6540.6965989870. The cubic root of 42780712 is about 349.7432457089.

The spelling of 42780712 in words is "forty-two million, seven hundred eighty thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 26 41 52 79 82 104 127 158 164 254 316 328 508 533 632 1016 1027 1066 1651 2054 2132 3239 3302 4108 4264 5207 6478 6604 8216 10033 10414 12956 13208 20066 20828 25912 40132 41656 42107 67691 80264 84214 130429 135382 168428 260858 270764 336856 411353 521716 541528 822706 1043432 1645412 3290824 5347589 10695178 21390356 42780712