Search a number
-
+
40129417 = 293134421
BaseRepresentation
bin1001100100010…
…1001110001001
32210111210012201
42121011032021
540233120132
63552040201
7665044246
oct231051611
983453181
1040129417
1120719909
1211533061
138410723
1454885cd
1537ca2e7
hex2645389

40129417 has 8 divisors (see below), whose sum is σ = 41655240. Its totient is φ = 38613120.

The previous prime is 40129391. The next prime is 40129433. The reversal of 40129417 is 71492104.

It can be written as a sum of positive squares in 4 ways, for example, as 2134521 + 37994896 = 1461^2 + 6164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40129417 - 27 = 40129289 is a prime.

It is a super-2 number, since 2×401294172 = 3220740217519778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40129217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6867 + ... + 11287.

It is an arithmetic number, because the mean of its divisors is an integer number (5206905).

Almost surely, 240129417 is an apocalyptic number.

It is an amenable number.

40129417 is a deficient number, since it is larger than the sum of its proper divisors (1525823).

40129417 is a wasteful number, since it uses less digits than its factorization.

40129417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 40129417 is about 6334.7783702352. The cubic root of 40129417 is about 342.3636255332.

The spelling of 40129417 in words is "forty million, one hundred twenty-nine thousand, four hundred seventeen".

Divisors: 1 29 313 4421 9077 128209 1383773 40129417