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40641354 = 232132953113
BaseRepresentation
bin1001101100001…
…0001101001010
32211110210110100
42123002031022
540401010404
64011030230
71002305625
oct233021512
984423410
1040641354
1120a394a6
121173b376
13855c750
14557cdbc
15387bd39
hex26c234a

40641354 has 96 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 11741184.

The previous prime is 40641353. The next prime is 40641371. The reversal of 40641354 is 45314604.

40641354 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 8 ways, for example, as 5890329 + 34751025 = 2427^2 + 5895^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40641353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359602 + ... + 359714.

Almost surely, 240641354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40641354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

40641354 is an abundant number, since it is smaller than the sum of its proper divisors (60193926).

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

40641354 is a wasteful number, since it uses less digits than its factorization.

40641354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

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

The square root of 40641354 is about 6375.0571762142. The cubic root of 40641354 is about 343.8133395570.

Adding to 40641354 its reverse (45314604), we get a palindrome (85955958).

The spelling of 40641354 in words is "forty million, six hundred forty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 53 58 78 87 106 113 117 159 174 226 234 261 318 339 377 477 522 678 689 754 954 1017 1131 1378 1469 1537 2034 2067 2262 2938 3074 3277 3393 4134 4407 4611 5989 6201 6554 6786 8814 9222 9831 11978 12402 13221 13833 17967 19662 19981 26442 27666 29493 35934 39962 42601 53901 58986 59943 77857 85202 107802 119886 127803 155714 173681 179829 233571 255606 347362 359658 383409 467142 521043 700713 766818 1042086 1401426 1563129 2257853 3126258 4515706 6773559 13547118 20320677 40641354