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42212240 = 2457431753
BaseRepresentation
bin1010000100000…
…1101110010000
32221102121022022
42201001232100
541301242430
64104431012
71021540520
oct241015620
987377268
1042212240
1121911754
1212178468
13898c775
14586b680
153a8c4e5
hex2841b90

42212240 has 80 divisors (see below), whose sum is σ = 114837888. Its totient is φ = 14128128.

The previous prime is 42212237. The next prime is 42212267. The reversal of 42212240 is 4221224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 23204 + ... + 24956.

Almost surely, 242212240 is an apocalyptic number.

42212240 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 42212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57418944).

42212240 is an abundant number, since it is smaller than the sum of its proper divisors (72625648).

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

42212240 is a wasteful number, since it uses less digits than its factorization.

42212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42212240 is about 6497.0947353413. The cubic root of 42212240 is about 348.1871983538.

Adding to 42212240 its reverse (4221224), we get a palindrome (46433464).

The spelling of 42212240 in words is "forty-two million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 1753 2408 3010 3440 3506 4816 6020 7012 8765 12040 12271 14024 17530 24080 24542 28048 35060 49084 61355 70120 75379 98168 122710 140240 150758 196336 245420 301516 376895 490840 527653 603032 753790 981680 1055306 1206064 1507580 2110612 2638265 3015160 4221224 5276530 6030320 8442448 10553060 21106120 42212240