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46898145 = 3257221269
BaseRepresentation
bin1011001011100…
…1101111100001
310021020200011100
42302321233201
544001220040
64353105013
71106425200
oct262715741
9107220140
1046898145
11245222a8
1213858169
1399405a8
14632b237
1541b5b30
hex2cb9be1

46898145 has 36 divisors (see below), whose sum is σ = 94566420. Its totient is φ = 21438144.

The previous prime is 46898143. The next prime is 46898149. The reversal of 46898145 is 54189864.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 24770529 = 4704^2 + 4977^2 .

It is not a de Polignac number, because 46898145 - 21 = 46898143 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 46898145.

It is not an unprimeable number, because it can be changed into a prime (46898143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8430 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (2626845).

Almost surely, 246898145 is an apocalyptic number.

46898145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46898145 is an abundant number, since it is smaller than the sum of its proper divisors (47668275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46898145 is a wasteful number, since it uses less digits than its factorization.

46898145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21294 (or 21284 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 46898145 is about 6848.2220320314. Note that the first 3 decimals coincide. The cubic root of 46898145 is about 360.6217265747.

The spelling of 46898145 in words is "forty-six million, eight hundred ninety-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 21269 63807 106345 148883 191421 319035 446649 744415 957105 1042181 1339947 2233245 3126543 5210905 6699735 9379629 15632715 46898145