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42963504 = 243892113
BaseRepresentation
bin1010001111100…
…1001000110000
32222211202211220
42203321020300
541444313004
64132505040
71031120013
oct243711060
988752756
1042963504
1122285131
121247b180
138b936bc
1459c537a
153b89dd9
hex28f9230

42963504 has 60 divisors (see below), whose sum is σ = 113243496. Its totient is φ = 14034944.

The previous prime is 42963491. The next prime is 42963511. The reversal of 42963504 is 40536924.

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 11 ways as a sum of consecutive naturals, for example, 380152 + ... + 380264.

Almost surely, 242963504 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 42963504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56621748).

42963504 is an abundant number, since it is smaller than the sum of its proper divisors (70279992).

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

42963504 is a wasteful number, since it uses less digits than its factorization.

42963504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 42963504 is about 6554.6551396698. The cubic root of 42963504 is about 350.2406616928.

The spelling of 42963504 in words is "forty-two million, nine hundred sixty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 113 178 226 267 339 356 452 534 678 712 904 1068 1356 1424 1808 2136 2712 4272 5424 7921 10057 15842 20114 23763 30171 31684 40228 47526 60342 63368 80456 95052 120684 126736 160912 190104 241368 380208 482736 895073 1790146 2685219 3580292 5370438 7160584 10740876 14321168 21481752 42963504