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42311412 = 223211138219
BaseRepresentation
bin1010000101100…
…1111011110100
32221121122100100
42201121323310
541312431122
64110514100
71022432613
oct241317364
987548310
1042311412
112197a210
1212205930
1389c5950
14589587a
153aabaac
hex2859ef4

42311412 has 72 divisors (see below), whose sum is σ = 125667360. Its totient is φ = 11833920.

The previous prime is 42311411. The next prime is 42311413. The reversal of 42311412 is 21411324.

It is an interprime number because it is at equal distance from previous prime (42311411) and next prime (42311413).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311411) 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, 1039 + ... + 9257.

It is an arithmetic number, because the mean of its divisors is an integer number (1745380).

Almost surely, 242311412 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 42311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62833680).

42311412 is an abundant number, since it is smaller than the sum of its proper divisors (83355948).

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

42311412 is a wasteful number, since it uses less digits than its factorization.

42311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8248 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 42311412 is about 6504.7222846175. The cubic root of 42311412 is about 348.4596581470.

Adding to 42311412 its reverse (21411324), we get a palindrome (63722736).

The spelling of 42311412 in words is "forty-two million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 8219 16438 24657 32876 49314 73971 90409 98628 106847 147942 180818 213694 271227 295884 320541 361636 427388 542454 641082 813681 961623 1084908 1175317 1282164 1627362 1923246 2350634 3254724 3525951 3846492 4701268 7051902 10577853 14103804 21155706 42311412