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42709464 = 2333747601
BaseRepresentation
bin1010001011101…
…1000111011000
32222100212101000
42202323013120
541413200324
64123225000
71026011250
oct242730730
988325330
1042709464
1122121286
1212378160
138b04b95
14595a960
153b399c9
hex28bb1d8

42709464 has 128 divisors (see below), whose sum is σ = 138700800. Its totient is φ = 11923200.

The previous prime is 42709463. The next prime is 42709481. The reversal of 42709464 is 46490724.

42709464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42709463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70764 + ... + 71364.

It is an arithmetic number, because the mean of its divisors is an integer number (1083600).

Almost surely, 242709464 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 42709464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69350400).

42709464 is an abundant number, since it is smaller than the sum of its proper divisors (95991336).

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

42709464 is a wasteful number, since it uses less digits than its factorization.

42709464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42709464 is about 6535.2478147351. The cubic root of 42709464 is about 349.5489809596.

The spelling of 42709464 in words is "forty-two million, seven hundred nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 601 658 756 846 987 1128 1202 1269 1316 1512 1692 1803 1974 2404 2538 2632 2961 3384 3606 3948 4207 4808 5076 5409 5922 7212 7896 8414 8883 10152 10818 11844 12621 14424 16227 16828 17766 21636 23688 25242 28247 32454 33656 35532 37863 43272 50484 56494 64908 71064 75726 84741 100968 112988 113589 129816 151452 169482 197729 225976 227178 254223 302904 338964 395458 454356 508446 593187 677928 762669 790916 908712 1016892 1186374 1525338 1581832 1779561 2033784 2372748 3050676 3559122 4745496 5338683 6101352 7118244 10677366 14236488 21354732 42709464