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483607728 = 243215721391
BaseRepresentation
bin11100110100110…
…100010010110000
31020200222211002100
4130310310102300
51442300421403
6115553220400
714661412032
oct3464642260
91220884070
10483607728
11228a9070a
12115b61700
1379265b26
1448329c52
152c6cb2a3
hex1cd344b0

483607728 has 60 divisors (see below), whose sum is σ = 1362114208. Its totient is φ = 160168320.

The previous prime is 483607727. The next prime is 483607739. The reversal of 483607728 is 827706384.

483607728 = 38722 + 38732 + ... + 39032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (483607727) 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, 11913 + ... + 33303.

Almost surely, 2483607728 is an apocalyptic number.

483607728 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 483607728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681057104).

483607728 is an abundant number, since it is smaller than the sum of its proper divisors (878506480).

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

483607728 is a wasteful number, since it uses less digits than its factorization.

483607728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21562 (or 21553 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 483607728 is about 21991.0829201292. The cubic root of 483607728 is about 784.9302698147.

The spelling of 483607728 in words is "four hundred eighty-three million, six hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 21391 22608 42782 64173 85564 128346 171128 192519 256692 342256 385038 513384 770076 1026768 1540152 3080304 3358387 6716774 10075161 13433548 20150322 26867096 30225483 40300644 53734192 60450966 80601288 120901932 161202576 241803864 483607728