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40006062 = 236231193
BaseRepresentation
bin1001100010011…
…1000110101110
32210021112000000
42120213012232
540220143222
63545245130
7664021515
oct230470656
983245000
1040006062
1120645168
12114937a6
138399535
14545567c
1537a39ac
hex26271ae

40006062 has 56 divisors (see below), whose sum is σ = 93963024. Its totient is φ = 12744864.

The previous prime is 40006061. The next prime is 40006063. The reversal of 40006062 is 26060004.

40006062 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40006061) and next prime (40006063).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40006061) 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 27 ways as a sum of consecutive naturals, for example, 32938 + ... + 34130.

Almost surely, 240006062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40006062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46981512).

40006062 is an abundant number, since it is smaller than the sum of its proper divisors (53956962).

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

40006062 is a wasteful number, since it uses less digits than its factorization.

40006062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40006062 is about 6325.0345453602. The cubic root of 40006062 is about 342.0124649196.

Adding to 40006062 its reverse (26060004), we get a palindrome (66066066).

The spelling of 40006062 in words is "forty million, six thousand, sixty-two", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 729 1193 1242 1458 1863 2386 3579 3726 5589 7158 10737 11178 16767 21474 27439 32211 33534 54878 64422 82317 96633 164634 193266 246951 289899 493902 579798 740853 869697 1481706 1739394 2222559 4445118 6667677 13335354 20003031 40006062