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40348248 = 2331924657
BaseRepresentation
bin1001100111101…
…0101001011000
32210220220101120
42121322221120
540312120443
64000445240
7666645243
oct231725130
983826346
1040348248
1120859266
1211619820
138489205
14550425a
153820083
hex267aa58

40348248 has 48 divisors (see below), whose sum is σ = 106481880. Its totient is φ = 12738816.

The previous prime is 40348237. The next prime is 40348249. The reversal of 40348248 is 84284304.

40348248 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 2×403482482 = 3255962233339008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40348249) 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 11 ways as a sum of consecutive naturals, for example, 6336 + ... + 10992.

Almost surely, 240348248 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 40348248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53240940).

40348248 is an abundant number, since it is smaller than the sum of its proper divisors (66133632).

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

40348248 is a wasteful number, since it uses less digits than its factorization.

40348248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 40348248 is about 6352.0270780279. The cubic root of 40348248 is about 342.9848157450.

The spelling of 40348248 in words is "forty million, three hundred forty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2888 4332 4657 8664 9314 13971 18628 27942 37256 55884 88483 111768 176966 265449 353932 530898 707864 1061796 1681177 2123592 3362354 5043531 6724708 10087062 13449416 20174124 40348248