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484090992 = 243673112
BaseRepresentation
bin11100110110101…
…010010001110000
31020201220101000000
4130312222101300
51442411402432
6120011430000
714665464000
oct3466522160
91221811000
10484090992
11229290800
12116155300
13793a4a98
1448414000
152c77457c
hex1cdaa470

484090992 has 420 divisors, whose sum is σ = 1802575600. Its totient is φ = 125737920.

The previous prime is 484090979. The next prime is 484091057. The reversal of 484090992 is 299090484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 44008267 + ... + 44008277.

Almost surely, 2484090992 is an apocalyptic number.

484090992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484090992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901287800).

484090992 is an abundant number, since it is smaller than the sum of its proper divisors (1318484608).

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

484090992 is an equidigital number, since it uses as much as digits as its factorization.

484090992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 484090992 is about 22002.0679028131. The cubic root of 484090992 is about 785.1916402306.

It can be divided in two parts, 4 and 84090992, that added together give a triangular number (84090996 = T12968).

The spelling of 484090992 in words is "four hundred eighty-four million, ninety thousand, nine hundred ninety-two".