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42230240 = 2551379257
BaseRepresentation
bin1010000100011…
…0000111100000
32221110111222222
42201012013200
541302331430
64105050212
71021644143
oct241060740
987414888
1042230240
1121924228
1212186968
138997a10
14587405a
153a929e5
hex28461e0

42230240 has 96 divisors (see below), whose sum is σ = 109226880. Its totient is φ = 15335424.

The previous prime is 42230219. The next prime is 42230249. The reversal of 42230240 is 4203224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42230249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164192 + ... + 164448.

It is an arithmetic number, because the mean of its divisors is an integer number (1137780).

Almost surely, 242230240 is an apocalyptic number.

42230240 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 42230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54613440).

42230240 is an abundant number, since it is smaller than the sum of its proper divisors (66996640).

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

42230240 is a wasteful number, since it uses less digits than its factorization.

42230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 42230240 is about 6498.4798222354. The cubic root of 42230240 is about 348.2366822550.

Adding to 42230240 its reverse (4203224), we get a palindrome (46433464).

The spelling of 42230240 in words is "forty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 79 80 104 130 158 160 208 257 260 316 395 416 514 520 632 790 1027 1028 1040 1264 1285 1580 2054 2056 2080 2528 2570 3160 3341 4108 4112 5135 5140 6320 6682 8216 8224 10270 10280 12640 13364 16432 16705 20303 20540 20560 26728 32864 33410 40606 41080 41120 53456 66820 81212 82160 101515 106912 133640 162424 164320 203030 263939 267280 324848 406060 527878 534560 649696 812120 1055756 1319695 1624240 2111512 2639390 3248480 4223024 5278780 8446048 10557560 21115120 42230240