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46013461 = 132272269
BaseRepresentation
bin1010111110000…
…1110000010101
310012120201121021
42233201300111
543234412321
64322121141
71066052014
oct257416025
9105521537
1046013461
1123a7865a
12134b01b1
1396c0a00
14617aa7b
15408d941
hex2be1c15

46013461 has 6 divisors (see below), whose sum is σ = 49825410. Its totient is φ = 42473808.

The previous prime is 46013449. The next prime is 46013477. The reversal of 46013461 is 16431064.

46013461 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 3 ways, for example, as 5130225 + 40883236 = 2265^2 + 6394^2 .

It is not a de Polignac number, because 46013461 - 213 = 46005269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46013431) 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 5 ways as a sum of consecutive naturals, for example, 135966 + ... + 136303.

It is an arithmetic number, because the mean of its divisors is an integer number (8304235).

Almost surely, 246013461 is an apocalyptic number.

It is an amenable number.

46013461 is a deficient number, since it is larger than the sum of its proper divisors (3811949).

46013461 is a wasteful number, since it uses less digits than its factorization.

46013461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272295 (or 272282 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 46013461 is about 6783.3222686232. The cubic root of 46013461 is about 358.3397339882.

The spelling of 46013461 in words is "forty-six million, thirteen thousand, four hundred sixty-one".

Divisors: 1 13 169 272269 3539497 46013461