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42678576 = 24363659
BaseRepresentation
bin1010001011001…
…1100100110000
32222022022000000
42202303210300
541411203301
64122430000
71025522223
oct242634460
988268000
1042678576
1122100056
1212362300
138ac3ac5
14594d5ba
153b30786
hex28b3930

42678576 has 70 divisors (see below), whose sum is σ = 124011780. Its totient is φ = 14222304.

The previous prime is 42678539. The next prime is 42678583. The reversal of 42678576 is 67587624.

42678576 is a `hidden beast` number, since 4 + 2 + 6 + 78 + 576 = 666.

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 13 ways as a sum of consecutive naturals, for example, 9835 + ... + 13493.

Almost surely, 242678576 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 42678576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62005890).

42678576 is an abundant number, since it is smaller than the sum of its proper divisors (81333204).

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

42678576 is an equidigital number, since it uses as much as digits as its factorization.

42678576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3664 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 42678576 is about 6532.8842022494. The cubic root of 42678576 is about 349.4646946230.

The spelling of 42678576 in words is "forty-two million, six hundred seventy-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3659 3888 5832 7318 10977 11664 14636 21954 29272 32931 43908 58544 65862 87816 98793 131724 175632 197586 263448 296379 395172 526896 592758 790344 889137 1185516 1580688 1778274 2371032 2667411 3556548 4742064 5334822 7113096 10669644 14226192 21339288 42678576