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42062040 = 23325313769
BaseRepresentation
bin1010000001110…
…1000011011000
32221010222021100
42200131003120
541231441130
64101311400
71020343566
oct240350330
987128240
1042062040
1121819919
1212105560
1389392a7
14582ca36
153a5cc60
hex281d0d8

42062040 has 96 divisors (see below), whose sum is σ = 141148800. Its totient is φ = 10851840.

The previous prime is 42062017. The next prime is 42062051. The reversal of 42062040 is 4026024.

42062040 is a `hidden beast` number, since 4 + 2 + 0 + 620 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9276 + ... + 13044.

It is an arithmetic number, because the mean of its divisors is an integer number (1470300).

Almost surely, 242062040 is an apocalyptic number.

42062040 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 42062040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70574400).

42062040 is an abundant number, since it is smaller than the sum of its proper divisors (99086760).

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

42062040 is a wasteful number, since it uses less digits than its factorization.

42062040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42062040 is about 6485.5254220456. The cubic root of 42062040 is about 347.7737332163.

Adding to 42062040 its reverse (4026024), we get a palindrome (46088064).

The spelling of 42062040 in words is "forty-two million, sixty-two thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 3769 5580 7538 11160 11307 15076 18845 22614 30152 33921 37690 45228 56535 67842 75380 90456 113070 116839 135684 150760 169605 226140 233678 271368 339210 350517 452280 467356 584195 678420 701034 934712 1051551 1168390 1356840 1402068 1752585 2103102 2336780 2804136 3505170 4206204 4673560 5257755 7010340 8412408 10515510 14020680 21031020 42062040