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48137541 = 3471971733
BaseRepresentation
bin1011011110100…
…0010101000101
310100120122021220
42313220111011
544310400131
64435430553
71123106454
oct267502505
9110518256
1048137541
11251994a1
1214155459
139c8576a
146570b9b
15435ce96
hex2de8545

48137541 has 16 divisors (see below), whose sum is σ = 65919744. Its totient is φ = 31231424.

The previous prime is 48137527. The next prime is 48137549. The reversal of 48137541 is 14573184.

48137541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48137541 is a prime.

It is a super-3 number, since 3×481375413 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48137549) 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 15 ways as a sum of consecutive naturals, for example, 26911 + ... + 28643.

It is an arithmetic number, because the mean of its divisors is an integer number (4119984).

Almost surely, 248137541 is an apocalyptic number.

It is an amenable number.

48137541 is a deficient number, since it is larger than the sum of its proper divisors (17782203).

48137541 is a wasteful number, since it uses less digits than its factorization.

48137541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980.

The product of its digits is 13440, while the sum is 33.

The square root of 48137541 is about 6938.1222964142. The cubic root of 48137541 is about 363.7709105727.

The spelling of 48137541 in words is "forty-eight million, one hundred thirty-seven thousand, five hundred forty-one".

Divisors: 1 3 47 141 197 591 1733 5199 9259 27777 81451 244353 341401 1024203 16045847 48137541