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42236640 = 253453259
BaseRepresentation
bin1010000100011…
…1101011100000
32221110211210000
42201013223200
541303033030
64105140000
71022001615
oct241075340
987424700
1042236640
1121929016
121218a600
13899a8c4
14587650c
153a94860
hex2847ae0

42236640 has 120 divisors (see below), whose sum is σ = 149105880. Its totient is φ = 11259648.

The previous prime is 42236617. The next prime is 42236657. The reversal of 42236640 is 4663224.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 19 ways as a sum of consecutive naturals, for example, 11331 + ... + 14589.

It is an arithmetic number, because the mean of its divisors is an integer number (1242549).

Almost surely, 242236640 is an apocalyptic number.

42236640 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 42236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74552940).

42236640 is an abundant number, since it is smaller than the sum of its proper divisors (106869240).

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

42236640 is a wasteful number, since it uses less digits than its factorization.

42236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42236640 is about 6498.9722264370. The cubic root of 42236640 is about 348.2542731424.

Adding to 42236640 its reverse (4663224), we get a palindrome (46899864).

The spelling of 42236640 in words is "forty-two million, two hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 3259 4320 6480 6518 9777 12960 13036 16295 19554 26072 29331 32590 39108 48885 52144 58662 65180 78216 87993 97770 104288 117324 130360 146655 156432 175986 195540 234648 260720 263979 293310 312864 351972 391080 439965 469296 521440 527958 586620 703944 782160 879930 938592 1055916 1173240 1319895 1407888 1564320 1759860 2111832 2346480 2639790 2815776 3519720 4223664 4692960 5279580 7039440 8447328 10559160 14078880 21118320 42236640