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484927440 = 243515113381
BaseRepresentation
bin11100111001110…
…110011111010000
31020210110212101120
4130321312133100
51443120134230
6120041402240
715005546424
oct3471663720
91223425346
10484927440
11229802188
12116499380
137960871a
1448590b84
152c88c310
hex1ce767d0

484927440 has 80 divisors (see below), whose sum is σ = 1513343616. Its totient is φ = 128448000.

The previous prime is 484927433. The next prime is 484927489. The reversal of 484927440 is 44729484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 484927392 and 484927401.

It is a congruent number.

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, 29550 + ... + 42930.

Almost surely, 2484927440 is an apocalyptic number.

484927440 is a gapful number since it is divisible by the number (40) 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 484927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756671808).

484927440 is an abundant number, since it is smaller than the sum of its proper divisors (1028416176).

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

484927440 is a wasteful number, since it uses less digits than its factorization.

484927440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13548 (or 13542 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 484927440 is about 22021.0680939867. The cubic root of 484927440 is about 785.6436172884.

The spelling of 484927440 in words is "four hundred eighty-four million, nine hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 6040 7248 9060 12080 13381 18120 26762 36240 40143 53524 66905 80286 107048 133810 160572 200715 214096 267620 321144 401430 535240 642288 802860 1070480 1605720 2020531 3211440 4041062 6061593 8082124 10102655 12123186 16164248 20205310 24246372 30307965 32328496 40410620 48492744 60615930 80821240 96985488 121231860 161642480 242463720 484927440