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42378390 = 2345113463
BaseRepresentation
bin1010000110101…
…0010010010110
32221202001020000
42201222102112
541322102030
64112152130
71023132105
oct241522226
987661200
1042378390
1121a1556a
1212238646
138a1a292
1458b203c
153ac1860
hex286a496

42378390 has 80 divisors (see below), whose sum is σ = 115207488. Its totient is φ = 11176704.

The previous prime is 42378373. The next prime is 42378407. The reversal of 42378390 is 9387324.

It is an interprime number because it is at equal distance from previous prime (42378373) and next prime (42378407).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91299 + ... + 91761.

Almost surely, 242378390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42378390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57603744).

42378390 is an abundant number, since it is smaller than the sum of its proper divisors (72829098).

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

42378390 is a wasteful number, since it uses less digits than its factorization.

42378390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42378390 is about 6509.8686622696. The cubic root of 42378390 is about 348.6434291093.

The spelling of 42378390 in words is "forty-two million, three hundred seventy-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 226 270 339 405 463 565 678 810 926 1017 1130 1389 1695 2034 2315 2778 3051 3390 4167 4630 5085 6102 6945 8334 9153 10170 12501 13890 15255 18306 20835 25002 30510 37503 41670 45765 52319 62505 75006 91530 104638 125010 156957 187515 261595 313914 375030 470871 523190 784785 941742 1412613 1569570 2354355 2825226 4237839 4708710 7063065 8475678 14126130 21189195 42378390