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42042462 = 237111753101
BaseRepresentation
bin1010000001100…
…0010001011110
32221002222102020
42200120101132
541230324322
64101041010
71020232530
oct240302136
987088366
1042042462
1121806140
12120b6166
1389303c7
145825850
153a5705c
hex281845e

42042462 has 128 divisors (see below), whose sum is σ = 114213888. Its totient is φ = 9984000.

The previous prime is 42042439. The next prime is 42042491. The reversal of 42042462 is 26424024.

It is a super-2 number, since 2×420424622 = 3535137222042888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416212 + ... + 416312.

It is an arithmetic number, because the mean of its divisors is an integer number (892296).

Almost surely, 242042462 is an apocalyptic number.

42042462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57106944).

42042462 is an abundant number, since it is smaller than the sum of its proper divisors (72171426).

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

42042462 is a wasteful number, since it uses less digits than its factorization.

42042462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42042462 is about 6484.0158852366. The cubic root of 42042462 is about 347.7197671318.

Adding to 42042462 its reverse (26424024), we get a palindrome (68466486).

It can be divided in two parts, 4204 and 2462, that added together give a palindrome (6666).

The spelling of 42042462 in words is "forty-two million, forty-two thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 53 66 77 101 102 106 119 154 159 187 202 231 238 303 318 357 371 374 462 561 583 606 707 714 742 901 1111 1113 1122 1166 1309 1414 1717 1749 1802 2121 2222 2226 2618 2703 3333 3434 3498 3927 4081 4242 5151 5353 5406 6307 6666 7777 7854 8162 9911 10302 10706 12019 12243 12614 15554 16059 18887 18921 19822 23331 24038 24486 29733 32118 36057 37471 37774 37842 46662 56661 58883 59466 69377 72114 74942 91001 112413 113322 117766 132209 138754 176649 182002 208131 224826 264418 273003 353298 396627 412181 416262 546006 637007 793254 824362 1001011 1236543 1274014 1911021 2002022 2473086 3003033 3822042 6006066 7007077 14014154 21021231 42042462