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40130262 = 2332379409
BaseRepresentation
bin1001100100010…
…1011011010110
32210111211101000
42121011123112
540233132022
63552044130
7665046564
oct231053326
983454330
1040130262
112071a507
1211533646
138410c23
145488a34
1537ca6ac
hex26456d6

40130262 has 64 divisors (see below), whose sum is σ = 94464000. Its totient is φ = 12602304.

The previous prime is 40130231. The next prime is 40130263. The reversal of 40130262 is 26203104.

It is a happy number.

40130262 is a `hidden beast` number, since 401 + 3 + 0 + 262 = 666.

40130262 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 2×401302622 = 3220875856377288, which contains 22 as substring.

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 (40130263) 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, 97914 + ... + 98322.

It is an arithmetic number, because the mean of its divisors is an integer number (1476000).

Almost surely, 240130262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40130262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47232000).

40130262 is an abundant number, since it is smaller than the sum of its proper divisors (54333738).

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

40130262 is a wasteful number, since it uses less digits than its factorization.

40130262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

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

The square root of 40130262 is about 6334.8450651930. The cubic root of 40130262 is about 342.3660285520.

Adding to 40130262 its reverse (26203104), we get a palindrome (66333366).

The spelling of 40130262 in words is "forty million, one hundred thirty thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 79 138 158 207 237 409 414 474 621 711 818 1227 1242 1422 1817 2133 2454 3634 3681 4266 5451 7362 9407 10902 11043 16353 18814 22086 28221 32311 32706 49059 56442 64622 84663 96933 98118 169326 193866 253989 290799 507978 581598 743153 872397 1486306 1744794 2229459 4458918 6688377 13376754 20065131 40130262