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40144062 = 23723291433
BaseRepresentation
bin1001100100100…
…0110010111110
32210112112022010
42121020302332
540234102222
63552232050
7665135040
oct231106276
983475263
1040144062
1120729912
121153b626
1384172aa
14548da90
1537ce80c
hex2648cbe

40144062 has 64 divisors (see below), whose sum is σ = 99118080. Its totient is φ = 10585344.

The previous prime is 40144061. The next prime is 40144079. The reversal of 40144062 is 26044104.

40144062 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 2×401440622 = 3223091427719688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40144061) 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 31 ways as a sum of consecutive naturals, for example, 27298 + ... + 28730.

It is an arithmetic number, because the mean of its divisors is an integer number (1548720).

Almost surely, 240144062 is an apocalyptic number.

40144062 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 40144062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49559040).

40144062 is an abundant number, since it is smaller than the sum of its proper divisors (58974018).

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

40144062 is a wasteful number, since it uses less digits than its factorization.

40144062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40144062 is about 6335.9341852642. The cubic root of 40144062 is about 342.4052683467.

Adding to 40144062 its reverse (26044104), we get a palindrome (66188166).

The spelling of 40144062 in words is "forty million, one hundred forty-four thousand, sixty-two".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 203 322 406 483 609 667 966 1218 1334 1433 2001 2866 4002 4299 4669 8598 9338 10031 14007 20062 28014 30093 32959 41557 60186 65918 83114 98877 124671 197754 230713 249342 290899 461426 581798 692139 872697 955811 1384278 1745394 1911622 2867433 5734866 6690677 13381354 20072031 40144062