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464732992 = 2643473593
BaseRepresentation
bin11011101100110…
…100001101000000
31012101110212211001
4123230310031000
51422432423432
6114040501344
714342110453
oct3354641500
91171425731
10464732992
11219369859
1210b77a854
1375387949
1445a1549a
152abed9e7
hex1bb34340

464732992 has 56 divisors (see below), whose sum is σ = 963997056. Its totient is φ = 222071808.

The previous prime is 464732977. The next prime is 464733001. The reversal of 464732992 is 299237464.

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, 127548 + ... + 131140.

Almost surely, 2464732992 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 464732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481998528).

464732992 is an abundant number, since it is smaller than the sum of its proper divisors (499264064).

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

464732992 is a wasteful number, since it uses less digits than its factorization.

464732992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3685 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 464732992 is about 21557.6666640896. Note that the first 5 decimals coincide. The cubic root of 464732992 is about 774.5827748006.

The spelling of 464732992 in words is "four hundred sixty-four million, seven hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 172 188 344 376 688 752 1376 1504 2021 2752 3008 3593 4042 7186 8084 14372 16168 28744 32336 57488 64672 114976 129344 154499 168871 229952 308998 337742 617996 675484 1235992 1350968 2471984 2701936 4943968 5403872 7261453 9887936 10807744 14522906 29045812 58091624 116183248 232366496 464732992