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42476560 = 2457101751
BaseRepresentation
bin1010001000001…
…0010000010000
32221221000212221
42202002100100
541333222220
64114230424
71024021240
oct242022020
987830787
1042476560
1121a822a5
1212285414
138a52b79
1458d9b20
153ae09aa
hex2882410

42476560 has 80 divisors (see below), whose sum is σ = 114135552. Its totient is φ = 14400000.

The previous prime is 42476543. The next prime is 42476563. The reversal of 42476560 is 6567424.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42476563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56185 + ... + 56935.

Almost surely, 242476560 is an apocalyptic number.

42476560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57067776).

42476560 is an abundant number, since it is smaller than the sum of its proper divisors (71658992).

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

42476560 is a wasteful number, since it uses less digits than its factorization.

42476560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 42476560 is about 6517.4043913202. The cubic root of 42476560 is about 348.9124335936.

The spelling of 42476560 in words is "forty-two million, four hundred seventy-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 505 560 707 751 808 1010 1414 1502 1616 2020 2828 3004 3535 3755 4040 5257 5656 6008 7070 7510 8080 10514 11312 12016 14140 15020 21028 26285 28280 30040 42056 52570 56560 60080 75851 84112 105140 151702 210280 303404 379255 420560 530957 606808 758510 1061914 1213616 1517020 2123828 2654785 3034040 4247656 5309570 6068080 8495312 10619140 21238280 42476560