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42423480 = 23335113571
BaseRepresentation
bin1010000111010…
…1010010111000
32221211100002000
42201311102320
541330022410
64113141000
71023410421
oct241652270
987740060
1042423480
1121a46430
121225a760
138a34968
1458c4648
153acedc0
hex28754b8

42423480 has 128 divisors (see below), whose sum is σ = 154310400. Its totient is φ = 10281600.

The previous prime is 42423473. The next prime is 42423481. The reversal of 42423480 is 8432424.

It is a happy number.

42423480 is a `hidden beast` number, since 424 + 234 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423481) 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, 10095 + ... + 13665.

It is an arithmetic number, because the mean of its divisors is an integer number (1205550).

Almost surely, 242423480 is an apocalyptic number.

42423480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42423480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77155200).

42423480 is an abundant number, since it is smaller than the sum of its proper divisors (111886920).

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

42423480 is a wasteful number, since it uses less digits than its factorization.

42423480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42423480 is about 6513.3309450695. The cubic root of 42423480 is about 348.7670358195.

The spelling of 42423480 in words is "forty-two million, four hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3571 3960 5940 7142 10713 11880 14284 17855 21426 28568 32139 35710 39281 42852 53565 64278 71420 78562 85704 96417 107130 117843 128556 142840 157124 160695 192834 196405 214260 235686 257112 314248 321390 353529 385668 392810 428520 471372 482085 589215 642780 707058 771336 785620 942744 964170 1060587 1178430 1285560 1414116 1571240 1767645 1928340 2121174 2356860 2828232 3535290 3856680 4242348 4713720 5302935 7070580 8484696 10605870 14141160 21211740 42423480