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42227360 = 2557371019
BaseRepresentation
bin1010000100010…
…1011010100000
32221110101001022
42201011122200
541302233420
64105025012
71021632560
oct241053240
987411038
1042227360
112192204a
1212185168
138996606
145872da0
153a91c25
hex28456a0

42227360 has 96 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 14072832.

The previous prime is 42227357. The next prime is 42227399. The reversal of 42227360 is 6372224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40931 + ... + 41949.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 242227360 is an apocalyptic number.

42227360 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 42227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

42227360 is an abundant number, since it is smaller than the sum of its proper divisors (74982880).

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

42227360 is a wasteful number, since it uses less digits than its factorization.

42227360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 42227360 is about 6498.2582281716. The cubic root of 42227360 is about 348.2287657759.

Adding to 42227360 its reverse (6372224), we get a palindrome (48599584).

The spelling of 42227360 in words is "forty-two million, two hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1019 1036 1120 1184 1295 1480 2038 2072 2590 2960 4076 4144 5095 5180 5920 7133 8152 8288 10190 10360 14266 16304 20380 20720 28532 32608 35665 37703 40760 41440 57064 71330 75406 81520 114128 142660 150812 163040 188515 228256 263921 285320 301624 377030 527842 570640 603248 754060 1055684 1141280 1206496 1319605 1508120 2111368 2639210 3016240 4222736 5278420 6032480 8445472 10556840 21113680 42227360