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463232256 = 2833119457
BaseRepresentation
bin11011100111000…
…101110100000000
31012021122122012020
4123213011310000
51422041413011
6113544401440
714323260234
oct3347056400
91167578166
10463232256
11218534283
1210b176280
1374c80836
14457445c4
152aa04006
hex1b9c5d00

463232256 has 72 divisors (see below), whose sum is σ = 1272708864. Its totient is φ = 149422080.

The previous prime is 463232219. The next prime is 463232281. The reversal of 463232256 is 652232364.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14080 + ... + 33536.

It is an arithmetic number, because the mean of its divisors is an integer number (17676512).

Almost surely, 2463232256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636354432).

463232256 is an abundant number, since it is smaller than the sum of its proper divisors (809476608).

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

463232256 is a wasteful number, since it uses less digits than its factorization.

463232256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19507 (or 19493 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 463232256 is about 21522.8310405485. The cubic root of 463232256 is about 773.7481035689.

The spelling of 463232256 in words is "four hundred sixty-three million, two hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 19457 23808 38914 58371 77828 116742 155656 233484 311312 466968 603167 622624 933936 1206334 1245248 1809501 1867872 2412668 2490496 3619002 3735744 4825336 4980992 7238004 7471488 9650672 14476008 14942976 19301344 28952016 38602688 57904032 77205376 115808064 154410752 231616128 463232256