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484803312 = 24372415987
BaseRepresentation
bin11100111001011…
…000001011110000
31020210020120010020
4130321120023300
51443102201222
6120035003440
715004521510
oct3471301360
91223216106
10484803312
112297279a4
12116439580
1379594086
144855b840
152c86565c
hex1ce582f0

484803312 has 80 divisors (see below), whose sum is σ = 1437503232. Its totient is φ = 137917440.

The previous prime is 484803307. The next prime is 484803313. The reversal of 484803312 is 213308484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484803313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77983 + ... + 83969.

Almost surely, 2484803312 is an apocalyptic number.

484803312 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 484803312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718751616).

484803312 is an abundant number, since it is smaller than the sum of its proper divisors (952699920).

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

484803312 is a wasteful number, since it uses less digits than its factorization.

484803312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 484803312 is about 22018.2495217036. The cubic root of 484803312 is about 785.5765772291.

The spelling of 484803312 in words is "four hundred eighty-four million, eight hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 482 723 964 1446 1687 1928 2892 3374 3856 5061 5784 5987 6748 10122 11568 11974 13496 17961 20244 23948 26992 35922 40488 41909 47896 71844 80976 83818 95792 125727 143688 167636 251454 287376 335272 502908 670544 1005816 1442867 2011632 2885734 4328601 5771468 8657202 10100069 11542936 17314404 20200138 23085872 30300207 34628808 40400276 60600414 69257616 80800552 121200828 161601104 242401656 484803312