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42488047 = 721947971
BaseRepresentation
bin1010001000010…
…1000011101111
32221221121122101
42202011003233
541334104142
64114355531
71024066600
oct242050357
987847571
1042488047
1121a8a998
121228bba7
138a58174
1458ddda7
153ae40b7
hex28850ef

42488047 has 24 divisors (see below), whose sum is σ = 53187840. Its totient is φ = 33732720.

The previous prime is 42488041. The next prime is 42488053. The reversal of 42488047 is 74088424.

It is an interprime number because it is at equal distance from previous prime (42488041) and next prime (42488053).

It is not a de Polignac number, because 42488047 - 27 = 42487919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42487997 and 42488015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42488041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43272 + ... + 44242.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 242488047 is an apocalyptic number.

42488047 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42488047 is a deficient number, since it is larger than the sum of its proper divisors (10699793).

42488047 is a wasteful number, since it uses less digits than its factorization.

42488047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 42488047 is about 6518.2855874839. The cubic root of 42488047 is about 348.9438830635.

The spelling of 42488047 in words is "forty-two million, four hundred eighty-eight thousand, forty-seven".

Divisors: 1 7 19 47 49 133 329 893 931 971 2303 6251 6797 18449 43757 45637 47579 129143 319459 867103 904001 2236213 6069721 42488047