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42231312 = 24322341311
BaseRepresentation
bin1010000100011…
…0011000010000
32221110120110200
42201012120100
541302400222
64105055200
71021650234
oct241063020
987416420
1042231312
1121925012
1212187500
138998356
1458745c4
153a92eac
hex2846610

42231312 has 120 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 13094400.

The previous prime is 42231311. The next prime is 42231323. The reversal of 42231312 is 21313224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42231311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135637 + ... + 135947.

Almost surely, 242231312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

42231312 is an abundant number, since it is smaller than the sum of its proper divisors (84510576).

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

42231312 is a wasteful number, since it uses less digits than its factorization.

42231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 42231312 is about 6498.5623025405. The cubic root of 42231312 is about 348.2396288526.

Adding to 42231312 its reverse (21313224), we get a palindrome (63544536).

The spelling of 42231312 in words is "forty-two million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 92 123 138 144 164 184 207 246 276 311 328 368 369 414 492 552 622 656 738 828 933 943 984 1104 1244 1476 1656 1866 1886 1968 2488 2799 2829 2952 3312 3732 3772 4976 5598 5658 5904 7153 7464 7544 8487 11196 11316 12751 14306 14928 15088 16974 21459 22392 22632 25502 28612 33948 38253 42918 44784 45264 51004 57224 64377 67896 76506 85836 102008 114448 114759 128754 135792 153012 171672 204016 229518 257508 293273 306024 343344 459036 515016 586546 612048 879819 918072 1030032 1173092 1759638 1836144 2346184 2639457 3519276 4692368 5278914 7038552 10557828 14077104 21115656 42231312