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42065478 = 23271361421
BaseRepresentation
bin1010000001110…
…1111001000110
32221011010222200
42200131321012
541232043403
64101335330
71020356610
oct240357106
987133880
1042065478
1121821464
1212107546
13893aa20
14582ddb0
153a5dca3
hex281de46

42065478 has 96 divisors (see below), whose sum is σ = 114284352. Its totient is φ = 10886400.

The previous prime is 42065477. The next prime is 42065483. The reversal of 42065478 is 87456024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42065477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99708 + ... + 100128.

It is an arithmetic number, because the mean of its divisors is an integer number (1190462).

Almost surely, 242065478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42065478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57142176).

42065478 is an abundant number, since it is smaller than the sum of its proper divisors (72218874).

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

42065478 is a wasteful number, since it uses less digits than its factorization.

42065478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42065478 is about 6485.7904684009. The cubic root of 42065478 is about 347.7832082165.

The spelling of 42065478 in words is "forty-two million, sixty-five thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 61 63 78 91 117 122 126 182 183 234 273 366 421 427 546 549 793 819 842 854 1098 1263 1281 1586 1638 2379 2526 2562 2947 3789 3843 4758 5473 5551 5894 7137 7578 7686 8841 10946 11102 14274 16419 16653 17682 25681 26523 32838 33306 38311 49257 49959 51362 53046 76622 77043 98514 99918 114933 154086 179767 229866 231129 333853 344799 359534 462258 539301 667706 689598 1001559 1078602 1617903 2003118 2336971 3004677 3235806 4673942 6009354 7010913 14021826 21032739 42065478