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146801473 = 7133474649
BaseRepresentation
bin10001100000000…
…00001101000001
3101020020021202121
420300000031001
5300040121343
622322244241
73431535430
oct1060001501
9336207677
10146801473
1175958135
12411b6681
132454c0a0
14156d5117
15cd4baed
hex8c00341

146801473 has 16 divisors (see below), whose sum is σ = 181238400. Its totient is φ = 115790976.

The previous prime is 146801453. The next prime is 146801483. The reversal of 146801473 is 374108641.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-146801473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146801423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29253 + ... + 33901.

It is an arithmetic number, because the mean of its divisors is an integer number (11327400).

Almost surely, 2146801473 is an apocalyptic number.

146801473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146801473 is a deficient number, since it is larger than the sum of its proper divisors (34436927).

146801473 is a wasteful number, since it uses less digits than its factorization.

146801473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 146801473 is about 12116.1657713981. The cubic root of 146801473 is about 527.5255161620.

The spelling of 146801473 in words is "one hundred forty-six million, eight hundred one thousand, four hundred seventy-three".

Divisors: 1 7 13 91 347 2429 4511 4649 31577 32543 60437 423059 1613203 11292421 20971639 146801473