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41640752 = 2417295279
BaseRepresentation
bin1001111011011…
…0001100110000
32220100120101002
42132312030300
541130001002
64044301132
71013640416
oct236661460
986316332
1041640752
112156134a
1211b417a8
13881c5ca
14575d2b6
1539c8002
hex27b6330

41640752 has 40 divisors (see below), whose sum is σ = 88387200. Its totient is φ = 18916352.

The previous prime is 41640751. The next prime is 41640779. The reversal of 41640752 is 25704614.

41640752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (41640751) 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 7 ways as a sum of consecutive naturals, for example, 5249 + ... + 10527.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 241640752 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 41640752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44193600).

41640752 is an abundant number, since it is smaller than the sum of its proper divisors (46746448).

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

41640752 is a wasteful number, since it uses less digits than its factorization.

41640752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 41640752 is about 6452.9645900160. The cubic root of 41640752 is about 346.6087493645.

The spelling of 41640752 in words is "forty-one million, six hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 5279 7888 10558 21116 42232 84464 89743 153091 179486 306182 358972 612364 717944 1224728 1435888 2449456 2602547 5205094 10410188 20820376 41640752