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402444042 = 2371113371811
BaseRepresentation
bin10111111111001…
…100111100001010
31001001021021102220
4113333030330022
51311011202132
6103533434510
712654501150
oct2777147412
91031237386
10402444042
11197195190
12b293ba36
13654b8b90
143b63d3d0
15254e7a2c
hex17fccf0a

402444042 has 128 divisors (see below), whose sum is σ = 1110509568. Its totient is φ = 93830400.

The previous prime is 402444019. The next prime is 402444071. The reversal of 402444042 is 240444204.

It is a super-2 number, since 2×4024440422 = 323922413882595528, which contains 22 as substring.

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, 221317 + ... + 223127.

It is an arithmetic number, because the mean of its divisors is an integer number (8675856).

Almost surely, 2402444042 is an apocalyptic number.

402444042 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 402444042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555254784).

402444042 is an abundant number, since it is smaller than the sum of its proper divisors (708065526).

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

402444042 is a wasteful number, since it uses less digits than its factorization.

402444042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 402444042 is about 20061.0080005966. The cubic root of 402444042 is about 738.3039082938.

Adding to 402444042 its reverse (240444204), we get a palindrome (642888246).

It can be divided in two parts, 402 and 444042, that added together give a palindrome (444444).

The spelling of 402444042 in words is "four hundred two million, four hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 1811 2002 2442 2849 2886 3003 3367 3622 5291 5433 5698 6006 6734 8547 10101 10582 10866 12677 15873 17094 19921 20202 23543 25354 31746 37037 38031 39842 47086 59763 67007 70629 74074 76062 111111 119526 134014 139447 141258 164801 201021 222222 258973 278894 329602 402042 418341 469049 494403 517946 737077 776919 836682 871091 938098 988806 1407147 1474154 1553838 1742182 1812811 2211231 2613273 2814294 3625622 4422462 5159539 5226546 5438433 6097637 9582001 10319078 10876866 12195274 15478617 18292911 19164002 28746003 30957234 36585822 57492006 67074007 134148014 201222021 402444042