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42417945 = 3352231409
BaseRepresentation
bin1010000111001…
…1111100011001
32221211001111000
42201303330121
541324333240
64113055213
71023355323
oct241637431
987731430
1042417945
1121a42259
1212257509
138a3229b
1458c2613
153acd430
hex2873f19

42417945 has 32 divisors (see below), whose sum is σ = 75801600. Its totient is φ = 22505472.

The previous prime is 42417943. The next prime is 42417953. The reversal of 42417945 is 54971424.

It is a happy number.

It is not a de Polignac number, because 42417945 - 21 = 42417943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42417943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29401 + ... + 30809.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 242417945 is an apocalyptic number.

42417945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42417945 is a deficient number, since it is larger than the sum of its proper divisors (33383655).

42417945 is a wasteful number, since it uses less digits than its factorization.

42417945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1640 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42417945 is about 6512.9060334078. The cubic root of 42417945 is about 348.7518672579.

The spelling of 42417945 in words is "forty-two million, four hundred seventeen thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 223 669 1115 1409 2007 3345 4227 6021 7045 10035 12681 21135 30105 38043 63405 190215 314207 942621 1571035 2827863 4713105 8483589 14139315 42417945