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46129005 = 3251378853
BaseRepresentation
bin1010111111110…
…1111101101101
310012210121002200
42233331331231
543302112010
64324412113
71100042616
oct257757555
9105717080
1046129005
112404744a
1213547039
139731490
1461aac0d
1540b2cc0
hex2bfdf6d

46129005 has 24 divisors (see below), whose sum is σ = 86108568. Its totient is φ = 22709376.

The previous prime is 46129003. The next prime is 46129009. The reversal of 46129005 is 50092164.

It can be written as a sum of positive squares in 4 ways, for example, as 1212201 + 44916804 = 1101^2 + 6702^2 .

It is not a de Polignac number, because 46129005 - 21 = 46129003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46129005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46129003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38842 + ... + 40011.

It is an arithmetic number, because the mean of its divisors is an integer number (3587857).

Almost surely, 246129005 is an apocalyptic number.

46129005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46129005 is a deficient number, since it is larger than the sum of its proper divisors (39979563).

46129005 is a wasteful number, since it uses less digits than its factorization.

46129005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78877 (or 78874 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 46129005 is about 6791.8336993775. The cubic root of 46129005 is about 358.6394245366.

The spelling of 46129005 in words is "forty-six million, one hundred twenty-nine thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 78853 236559 394265 709677 1025089 1182795 3075267 3548385 5125445 9225801 15376335 46129005