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40626252 = 2233735153
BaseRepresentation
bin1001101011111…
…0100001001100
32211110000202000
42122332201030
540400020002
64010432300
71002213612
oct232764114
984400660
1040626252
1120a29117
1211732690
138555904
1455776b2
15387761c
hex26be84c

40626252 has 48 divisors (see below), whose sum is σ = 106790880. Its totient is φ = 13353984.

The previous prime is 40626251. The next prime is 40626253. The reversal of 40626252 is 25262604.

40626252 is a `hidden beast` number, since 406 + 2 + 6 + 252 = 666.

40626252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40626251) and next prime (40626253).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40626251) 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 15 ways as a sum of consecutive naturals, for example, 5308 + ... + 10460.

It is an arithmetic number, because the mean of its divisors is an integer number (2224810).

Almost surely, 240626252 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 40626252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53395440).

40626252 is an abundant number, since it is smaller than the sum of its proper divisors (66164628).

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

40626252 is a wasteful number, since it uses less digits than its factorization.

40626252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40626252 is about 6373.8726061948. The cubic root of 40626252 is about 343.7707481912.

Adding to 40626252 its reverse (25262604), we get a palindrome (65888856).

The spelling of 40626252 in words is "forty million, six hundred twenty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 5153 7884 10306 15459 20612 30918 46377 61836 92754 139131 185508 278262 376169 556524 752338 1128507 1504676 2257014 3385521 4514028 6771042 10156563 13542084 20313126 40626252