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42262040 = 2352371647
BaseRepresentation
bin1010000100110…
…1111000011000
32221112010121202
42201031320120
541304341130
64105453332
71022135642
oct241157030
987463552
1042262040
1121946107
12121a1248
1389a9332
145881892
153a9c145
hex284de18

42262040 has 64 divisors (see below), whose sum is σ = 100776960. Its totient is φ = 15917440.

The previous prime is 42262039. The next prime is 42262043. The reversal of 42262040 is 4026224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64997 + ... + 65643.

It is an arithmetic number, because the mean of its divisors is an integer number (1574640).

Almost surely, 242262040 is an apocalyptic number.

42262040 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 42262040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50388480).

42262040 is an abundant number, since it is smaller than the sum of its proper divisors (58514920).

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

42262040 is a wasteful number, since it uses less digits than its factorization.

42262040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42262040 is about 6500.9260878739. The cubic root of 42262040 is about 348.3240694610.

Adding to 42262040 its reverse (4026224), we get a palindrome (46288264).

The spelling of 42262040 in words is "forty-two million, two hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 647 710 920 1294 1420 1633 2588 2840 3235 3266 5176 6470 6532 8165 12940 13064 14881 16330 25880 29762 32660 45937 59524 65320 74405 91874 119048 148810 183748 229685 297620 367496 459370 595240 918740 1056551 1837480 2113102 4226204 5282755 8452408 10565510 21131020 42262040