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40129779 = 3233173257
BaseRepresentation
bin1001100100010…
…1010011110011
32210111210201010
42121011103303
540233123104
63552042003
7665045304
oct231052363
983453633
1040129779
112071a108
1211533303
138410941
1454887ab
1537ca489
hex26454f3

40129779 has 32 divisors (see below), whose sum is σ = 58650624. Its totient is φ = 24330240.

The previous prime is 40129763. The next prime is 40129783. The reversal of 40129779 is 97792104.

40129779 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40129779 - 24 = 40129763 is a prime.

It is a super-2 number, since 2×401297792 = 3220798325177682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40129759) 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 31 ways as a sum of consecutive naturals, for example, 156019 + ... + 156275.

It is an arithmetic number, because the mean of its divisors is an integer number (1832832).

Almost surely, 240129779 is an apocalyptic number.

40129779 is a deficient number, since it is larger than the sum of its proper divisors (18520845).

40129779 is a wasteful number, since it uses less digits than its factorization.

40129779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 40129779 is about 6334.8069425990. The cubic root of 40129779 is about 342.3646549962.

The spelling of 40129779 in words is "forty million, one hundred twenty-nine thousand, seven hundred seventy-nine".

Divisors: 1 3 23 31 69 73 93 219 257 713 771 1679 2139 2263 5037 5911 6789 7967 17733 18761 23901 52049 56283 156147 183241 431503 549723 581591 1294509 1744773 13376593 40129779