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464789540 = 22573318349
BaseRepresentation
bin11011101101000…
…010000000100100
31012101120202101102
4123231002000210
51422441231130
6114042015232
714342434355
oct3355020044
91171522342
10464789540
112193a8296
1210b7a7518
13753a75c7
1445a2bd2c
152ac10645
hex1bb42024

464789540 has 24 divisors (see below), whose sum is σ = 989431800. Its totient is φ = 183368448.

The previous prime is 464789539. The next prime is 464789587. The reversal of 464789540 is 45987464.

It can be written as a sum of positive squares in 4 ways, for example, as 143089444 + 321700096 = 11962^2 + 17936^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157715 + ... + 160634.

It is an arithmetic number, because the mean of its divisors is an integer number (41226325).

Almost surely, 2464789540 is an apocalyptic number.

It is an amenable number.

464789540 is an abundant number, since it is smaller than the sum of its proper divisors (524642260).

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

464789540 is a wasteful number, since it uses less digits than its factorization.

464789540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318431 (or 318429 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 464789540 is about 21558.9781761567. The cubic root of 464789540 is about 774.6141902091.

The spelling of 464789540 in words is "four hundred sixty-four million, seven hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 318349 636698 1273396 1591745 3183490 6366980 23239477 46478954 92957908 116197385 232394770 464789540