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42505904 = 2471911987
BaseRepresentation
bin1010001000100…
…1011010110000
32221222112010202
42202021122300
541340142104
64115014332
71024202630
oct242113260
987875122
1042505904
1121aa2351
121229a3a8
138a6332c
1459066c0
153ae951e
hex28896b0

42505904 has 40 divisors (see below), whose sum is σ = 94660608. Its totient is φ = 18112320.

The previous prime is 42505891. The next prime is 42505913. The reversal of 42505904 is 40950524.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20399 + ... + 22385.

Almost surely, 242505904 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 42505904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330304).

42505904 is an abundant number, since it is smaller than the sum of its proper divisors (52154704).

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

42505904 is a wasteful number, since it uses less digits than its factorization.

42505904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 42505904 is about 6519.6552056071. The cubic root of 42505904 is about 348.9927612667.

The spelling of 42505904 in words is "forty-two million, five hundred five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 382 764 1337 1528 1987 2674 3056 3974 5348 7948 10696 13909 15896 21392 27818 31792 55636 111272 222544 379517 759034 1518068 2656619 3036136 5313238 6072272 10626476 21252952 42505904