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40755704 = 2311271593
BaseRepresentation
bin1001101101111…
…0000111111000
32211200121022112
42123132013320
540413140304
64013311452
71003263203
oct233360770
984617275
1040755704
1121007400
1211795588
13859c802
1455ac93a
1538a0b6e
hex26de1f8

40755704 has 48 divisors (see below), whose sum is σ = 85322160. Its totient is φ = 18233600.

The previous prime is 40755691. The next prime is 40755707.

40755704 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×407557042 = 3322054817071232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40755707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68432 + ... + 69024.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 240755704 is an apocalyptic number.

40755704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40755704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42661080).

40755704 is an abundant number, since it is smaller than the sum of its proper divisors (44566456).

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

40755704 is a wasteful number, since it uses less digits than its factorization.

40755704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 40755704 is about 6384.0194235293. The cubic root of 40755704 is about 344.1354928670.

It can be divided in two parts, 4075 and 5704, that added together give a palindrome (9779).

The spelling of 40755704 in words is "forty million, seven hundred fifty-five thousand, seven hundred four".

Divisors: 1 2 4 8 11 22 44 71 88 121 142 242 284 484 568 593 781 968 1186 1562 2372 3124 4744 6248 6523 8591 13046 17182 26092 34364 42103 52184 68728 71753 84206 143506 168412 287012 336824 463133 574024 926266 1852532 3705064 5094463 10188926 20377852 40755704