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42075462 = 231113192989
BaseRepresentation
bin1010000010000…
…0010101000110
32221011122200110
42200200111012
541232403322
64101453450
71020430662
oct240402506
987148613
1042075462
1121828a10
1212111286
138942430
1458338a2
153a61c0c
hex2820546

42075462 has 128 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 10644480.

The previous prime is 42075413. The next prime is 42075499. The reversal of 42075462 is 26457024.

It is a super-3 number, since 3×420754623 (a number of 24 digits) contains 333 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, 472714 + ... + 472802.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 242075462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42075462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

42075462 is an abundant number, since it is smaller than the sum of its proper divisors (66788538).

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

42075462 is a wasteful number, since it uses less digits than its factorization.

42075462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42075462 is about 6486.5601053255. The cubic root of 42075462 is about 347.8107208234.

It can be divided in two parts, 4207 and 5462, that added together give a palindrome (9669).

The spelling of 42075462 in words is "forty-two million, seventy-five thousand, four hundred sixty-two".

Divisors: 1 2 3 6 11 13 19 22 26 29 33 38 39 57 58 66 78 87 89 114 143 174 178 209 247 267 286 319 377 418 429 494 534 551 627 638 741 754 858 957 979 1102 1131 1157 1254 1482 1653 1691 1914 1958 2262 2314 2581 2717 2937 3306 3382 3471 4147 5073 5162 5434 5874 6061 6942 7163 7743 8151 8294 10146 12122 12441 12727 14326 15486 16302 18183 18601 21489 21983 24882 25454 28391 33553 36366 37202 38181 42978 43966 49039 55803 56782 65949 67106 76362 78793 85173 98078 100659 111606 131898 147117 157586 170346 201318 236379 241813 294234 369083 472758 483626 539429 637507 725439 738166 1078858 1107249 1275014 1450878 1618287 1912521 2214498 3236574 3825042 7012577 14025154 21037731 42075462