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40791816 = 23331373199
BaseRepresentation
bin1001101110011…
…0111100001000
32211202102212000
42123212330020
540420314231
64014151000
71003503402
oct233467410
984672760
1040791816
112103154a
12117b2460
1385b3090
1455bbb72
1538ab6e6
hex26e6f08

40791816 has 128 divisors (see below), whose sum is σ = 124320000. Its totient is φ = 12317184.

The previous prime is 40791809. The next prime is 40791827. The reversal of 40791816 is 61819704.

40791816 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 204885 + ... + 205083.

It is an arithmetic number, because the mean of its divisors is an integer number (971250).

Almost surely, 240791816 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 40791816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62160000).

40791816 is an abundant number, since it is smaller than the sum of its proper divisors (83528184).

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

40791816 is a wasteful number, since it uses less digits than its factorization.

40791816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 40791816 is about 6386.8471094899. The cubic root of 40791816 is about 344.2371044291.

The spelling of 40791816 in words is "forty million, seven hundred ninety-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 73 78 104 108 117 146 156 199 216 219 234 292 312 351 398 438 468 584 597 657 702 796 876 936 949 1194 1314 1404 1592 1752 1791 1898 1971 2388 2587 2628 2808 2847 3582 3796 3942 4776 5174 5256 5373 5694 7164 7592 7761 7884 8541 10348 10746 11388 14328 14527 15522 15768 17082 20696 21492 22776 23283 25623 29054 31044 34164 42984 43581 46566 51246 58108 62088 68328 69849 87162 93132 102492 116216 130743 139698 174324 186264 188851 204984 261486 279396 348648 377702 392229 522972 558792 566553 755404 784458 1045944 1133106 1510808 1568916 1699659 2266212 3137832 3399318 4532424 5098977 6798636 10197954 13597272 20395908 40791816