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42407208 = 23325311113
BaseRepresentation
bin1010000111000…
…1010100101000
32221210111202100
42201301110220
541324012313
64112533400
71023312114
oct241612450
987714670
1042407208
1121a35188
1212251260
138a2a42c
1458bc744
153aca173
hex2871528

42407208 has 48 divisors (see below), whose sum is σ = 117030420. Its totient is φ = 13867776.

The previous prime is 42407201. The next prime is 42407227. The reversal of 42407208 is 80270424.

It can be written as a sum of positive squares in 2 ways, for example, as 39917124 + 2490084 = 6318^2 + 1578^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42407201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1741 + ... + 9372.

Almost surely, 242407208 is an apocalyptic number.

It is an amenable number.

42407208 is an abundant number, since it is smaller than the sum of its proper divisors (74623212).

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

42407208 is a wasteful number, since it uses less digits than its factorization.

42407208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11178 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42407208 is about 6512.0816948193. The cubic root of 42407208 is about 348.7224389520.

The spelling of 42407208 in words is "forty-two million, four hundred seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 11113 22226 33339 44452 66678 88904 100017 133356 200034 266712 400068 588989 800136 1177978 1766967 2355956 3533934 4711912 5300901 7067868 10601802 14135736 21203604 42407208