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40306077 = 327291397
BaseRepresentation
bin1001100111000…
…0010110011101
32210211202112200
42121300112131
540304243302
63555522113
7666411300
oct231602635
983752480
1040306077
112082a609
12115b9339
138472c66
1454d2b37
15381281c
hex267059d

40306077 has 18 divisors (see below), whose sum is σ = 67725918. Its totient is φ = 23031792.

The previous prime is 40306073. The next prime is 40306103. The reversal of 40306077 is 77060304.

40306077 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 only one way, i.e., 32387481 + 7918596 = 5691^2 + 2814^2 .

It is not a de Polignac number, because 40306077 - 22 = 40306073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40306077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40306073) 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 17 ways as a sum of consecutive naturals, for example, 45258 + ... + 46139.

It is an arithmetic number, because the mean of its divisors is an integer number (3762551).

Almost surely, 240306077 is an apocalyptic number.

It is an amenable number.

40306077 is a deficient number, since it is larger than the sum of its proper divisors (27419841).

40306077 is a wasteful number, since it uses less digits than its factorization.

40306077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91417 (or 91407 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 40306077 is about 6348.7067186948. The cubic root of 40306077 is about 342.8652809824.

The spelling of 40306077 in words is "forty million, three hundred six thousand, seventy-seven".

Divisors: 1 3 7 9 21 49 63 147 441 91397 274191 639779 822573 1919337 4478453 5758011 13435359 40306077