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40660928 = 2671137223
BaseRepresentation
bin1001101100011…
…0111111000000
32211111210022022
42123012333000
540402122203
64011301012
71002416660
oct233067700
984453268
1040660928
1120a52180
121174a768
138568629
1455861a0
153882a38
hex26c6fc0

40660928 has 112 divisors (see below), whose sum is σ = 103778304. Its totient is φ = 15344640.

The previous prime is 40660913. The next prime is 40660937. The reversal of 40660928 is 82906604.

40660928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×406609282 = 3306622131642368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 182225 + ... + 182447.

It is an arithmetic number, because the mean of its divisors is an integer number (926592).

Almost surely, 240660928 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 40660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51889152).

40660928 is an abundant number, since it is smaller than the sum of its proper divisors (63117376).

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

40660928 is a wasteful number, since it uses less digits than its factorization.

40660928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 40660928 is about 6376.5921933271. The cubic root of 40660928 is about 343.8685273687.

The spelling of 40660928 in words is "forty million, six hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 74 77 88 112 148 154 176 223 224 259 296 308 352 407 446 448 518 592 616 704 814 892 1036 1184 1232 1561 1628 1784 2072 2368 2453 2464 2849 3122 3256 3568 4144 4906 4928 5698 6244 6512 7136 8251 8288 9812 11396 12488 13024 14272 16502 16576 17171 19624 22792 24976 26048 33004 34342 39248 45584 49952 57757 66008 68684 78496 90761 91168 99904 115514 132016 137368 156992 181522 182336 231028 264032 274736 363044 462056 528064 549472 635327 726088 924112 1098944 1270654 1452176 1848224 2541308 2904352 3696448 5082616 5808704 10165232 20330464 40660928