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40995306 = 232111971051
BaseRepresentation
bin1001110001100…
…0100111101010
32212010202222200
42130120213222
540443322211
64022401030
71005311562
oct234304752
985122880
1040995306
1121160420
1211890176
1386548a1
145631da2
1538ebb56
hex27189ea

40995306 has 48 divisors (see below), whose sum is σ = 97482528. Its totient is φ = 12348000.

The previous prime is 40995281. The next prime is 40995307. The reversal of 40995306 is 60359904.

40995306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×409953062 = 3361230228067272, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40995307) 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 23 ways as a sum of consecutive naturals, for example, 38481 + ... + 39531.

It is an arithmetic number, because the mean of its divisors is an integer number (2030886).

Almost surely, 240995306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40995306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48741264).

40995306 is an abundant number, since it is smaller than the sum of its proper divisors (56487222).

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

40995306 is a wasteful number, since it uses less digits than its factorization.

40995306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 40995306 is about 6402.7576871220. The cubic root of 40995306 is about 344.8085642420.

The spelling of 40995306 in words is "forty million, nine hundred ninety-five thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 197 198 394 591 1051 1182 1773 2102 2167 3153 3546 4334 6306 6501 9459 11561 13002 18918 19503 23122 34683 39006 69366 104049 207047 208098 414094 621141 1242282 1863423 2277517 3726846 4555034 6832551 13665102 20497653 40995306