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465557540 = 22576749633
BaseRepresentation
bin11011101111111…
…101100000100100
31012110000202212212
4123233331200210
51423140320130
6114110302552
714352113420
oct3357754044
91173022785
10465557540
112198822a8
1210bab7a58
13755b6046
1445b8bb80
152ad12e95
hex1bbfd824

465557540 has 48 divisors (see below), whose sum is σ = 1134037632. Its totient is φ = 157234176.

The previous prime is 465557539. The next prime is 465557591. The reversal of 465557540 is 45755564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15437 + ... + 34196.

It is an arithmetic number, because the mean of its divisors is an integer number (23625784).

Almost surely, 2465557540 is an apocalyptic number.

It is an amenable number.

465557540 is an abundant number, since it is smaller than the sum of its proper divisors (668480092).

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

465557540 is a wasteful number, since it uses less digits than its factorization.

465557540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49716 (or 49714 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 41.

The square root of 465557540 is about 21576.7824292687. The cubic root of 465557540 is about 775.0406027982.

The spelling of 465557540 in words is "four hundred sixty-five million, five hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 49633 99266 198532 248165 347431 496330 694862 992660 1389724 1737155 3325411 3474310 6650822 6948620 13301644 16627055 23277877 33254110 46555754 66508220 93111508 116389385 232778770 465557540