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42311745 = 3257231619
BaseRepresentation
bin1010000101101…
…0000001000001
32221121122210200
42201122001001
541312433440
64110515413
71022433600
oct241320101
987548720
1042311745
112197a493
1212205b69
1389c5b48
145895a37
153aabc30
hex285a041

42311745 has 72 divisors (see below), whose sum is σ = 88208640. Its totient is φ = 18688320.

The previous prime is 42311723. The next prime is 42311747. The reversal of 42311745 is 54711324.

It is not a de Polignac number, because 42311745 - 26 = 42311681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42311747) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68046 + ... + 68664.

It is an arithmetic number, because the mean of its divisors is an integer number (1225120).

Almost surely, 242311745 is an apocalyptic number.

42311745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42311745 is an abundant number, since it is smaller than the sum of its proper divisors (45896895).

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

42311745 is a wasteful number, since it uses less digits than its factorization.

42311745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 42311745 is about 6504.7478813556. The cubic root of 42311745 is about 348.4605722957.

The spelling of 42311745 in words is "forty-two million, three hundred eleven thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 441 465 619 651 735 1085 1395 1519 1857 1953 2205 3095 3255 4333 4557 5571 7595 9285 9765 12999 13671 19189 21665 22785 27855 30331 38997 57567 64995 68355 90993 95945 134323 151655 172701 194985 272979 287835 402969 454965 671615 863505 940261 1208907 1364895 2014845 2820783 4701305 6044535 8462349 14103915 42311745