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42444402 = 237111337191
BaseRepresentation
bin1010000111101…
…0011001110010
32221212101202220
42201322121302
541331210102
64113421510
71023525420
oct241723162
987771686
1042444402
1121a60120
121226a896
138a41340
1458cc110
153ad61bc
hex287a672

42444402 has 128 divisors (see below), whose sum is σ = 117669888. Its totient is φ = 9849600.

The previous prime is 42444383. The next prime is 42444403. The reversal of 42444402 is 20444424.

42444402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424444022 = 3603054522275208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42444403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222127 + ... + 222317.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 242444402 is an apocalyptic number.

42444402 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 42444402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834944).

42444402 is an abundant number, since it is smaller than the sum of its proper divisors (75225486).

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

42444402 is a wasteful number, since it uses less digits than its factorization.

42444402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

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

The square root of 42444402 is about 6514.9368377598. The cubic root of 42444402 is about 348.8243602438.

Adding to 42444402 its reverse (20444424), we get a palindrome (62888826).

It can be divided in two parts, 4244 and 4402, that added together give a triangular number (8646 = T131).

The spelling of 42444402 in words is "forty-two million, four hundred forty-four thousand, four hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 191 222 231 259 273 286 382 407 429 462 481 518 546 573 777 814 858 962 1001 1146 1221 1337 1443 1554 2002 2101 2442 2483 2674 2849 2886 3003 3367 4011 4202 4966 5291 5698 6006 6303 6734 7067 7449 8022 8547 10101 10582 12606 14134 14707 14898 15873 17094 17381 20202 21201 27313 29414 31746 34762 37037 42402 44121 49469 52143 54626 74074 77737 81939 88242 91871 98938 104286 111111 148407 155474 163878 183742 191191 222222 233211 275613 296814 382382 466422 544159 551226 573573 643097 1010581 1088318 1147146 1286194 1632477 1929291 2021162 3031743 3264954 3858582 6063486 7074067 14148134 21222201 42444402