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40800084 = 22313416379
BaseRepresentation
bin1001101110100…
…0111101010100
32211202212012020
42123220331110
540421100314
64014253140
71003536453
oct233507524
984685166
1040800084
1121037786
12117b71b0
1385b6a80
1455c0b9a
1538adda9
hex26e8f54

40800084 has 48 divisors (see below), whose sum is σ = 105040320. Its totient is φ = 12245760.

The previous prime is 40800073. The next prime is 40800101. The reversal of 40800084 is 48000804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3207 + ... + 9585.

It is an arithmetic number, because the mean of its divisors is an integer number (2188340).

Almost surely, 240800084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40800084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52520160).

40800084 is an abundant number, since it is smaller than the sum of its proper divisors (64240236).

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

40800084 is a wasteful number, since it uses less digits than its factorization.

40800084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40800084 is about 6387.4943444202. The cubic root of 40800084 is about 344.2603604020.

Adding to 40800084 its reverse (48000804), we get a palindrome (88800888).

The spelling of 40800084 in words is "forty million, eight hundred thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6379 6396 12758 19137 25516 38274 76548 82927 165854 248781 261539 331708 497562 523078 784617 995124 1046156 1569234 3138468 3400007 6800014 10200021 13600028 20400042 40800084