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4503483648 = 28322338389
BaseRepresentation
bin1000011000110110…
…11011010100000000
3102121212002200011200
410030123123110000
533210342434043
62022513141200
7216412656636
oct41433332400
912555080150
104503483648
111a0110aa14
12a5825a800
1356a026331
1430a175356
151b557a7d3
hex10c6db500

4503483648 has 108 divisors (see below), whose sum is σ = 13041936180. Its totient is φ = 1494540288.

The previous prime is 4503483643. The next prime is 4503483653. The reversal of 4503483648 is 8463843054.

4503483648 is a `hidden beast` number, since 4 + 503 + 4 + 83 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4503483643) and next prime (4503483653).

It can be written as a sum of positive squares in 2 ways, for example, as 2463335424 + 2040148224 = 49632^2 + 45168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4503483643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 532638 + ... + 541026.

Almost surely, 24503483648 is an apocalyptic number.

4503483648 is a gapful number since it is divisible by the number (48) 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 4503483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520968090).

4503483648 is an abundant number, since it is smaller than the sum of its proper divisors (8538452532).

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

4503483648 is a wasteful number, since it uses less digits than its factorization.

4503483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8644 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4503483648 is about 67107.9998807892. Note that the first 3 decimals coincide. The cubic root of 4503483648 is about 1651.3895424203.

The spelling of 4503483648 in words is "four billion, five hundred three million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 576 699 768 932 1152 1398 1864 2097 2304 2796 3728 4194 5592 7456 8388 8389 11184 14912 16776 16778 22368 25167 29824 33552 33556 44736 50334 59648 67104 67112 75501 89472 100668 134208 134224 151002 178944 201336 268416 268448 302004 402672 536832 536896 604008 805344 1073792 1208016 1610688 1954637 2147584 2416032 3221376 3909274 4832064 5863911 6442752 7818548 9664128 11727822 15637096 17591733 19328256 23455644 31274192 35183466 46911288 62548384 70366932 93822576 125096768 140733864 187645152 250193536 281467728 375290304 500387072 562935456 750580608 1125870912 1501161216 2251741824 4503483648