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40830916 = 2272415081
BaseRepresentation
bin1001101111000…
…0011111000100
32211211102111011
42123300133010
540423042131
64015052004
71004025400
oct233603704
984742434
1040830916
1121058965
1211811004
1385c7b09
1455cc100
1538b80b1
hex26f07c4

40830916 has 36 divisors (see below), whose sum is σ = 85164156. Its totient is φ = 17068800.

The previous prime is 40830883. The next prime is 40830919. The reversal of 40830916 is 61903804.

40830916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3572100 + 37258816 = 1890^2 + 6104^2 .

It is not an unprimeable number, because it can be changed into a prime (40830919) 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 11 ways as a sum of consecutive naturals, for example, 5496 + ... + 10576.

It is an arithmetic number, because the mean of its divisors is an integer number (2365671).

Almost surely, 240830916 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 40830916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42582078).

40830916 is an abundant number, since it is smaller than the sum of its proper divisors (44333240).

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

40830916 is a wasteful number, since it uses less digits than its factorization.

40830916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 40830916 is about 6389.9073545710. The cubic root of 40830916 is about 344.3470559987.

The spelling of 40830916 in words is "forty million, eight hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 4018 5081 8036 10162 20324 35567 71134 142268 208321 248969 416642 497938 833284 995876 1458247 2916494 5832988 10207729 20415458 40830916