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484128528 = 243132113677
BaseRepresentation
bin11100110110110…
…011011100010000
31020201222021111020
4130312303130100
51442414103103
6120012315440
714666011302
oct3466633420
91221867436
10484128528
11229306a24
12116172b80
13793b8bb0
1448423972
152c780753
hex1cdb3710

484128528 has 80 divisors (see below), whose sum is σ = 1353621696. Its totient is φ = 148216320.

The previous prime is 484128527. The next prime is 484128551. The reversal of 484128528 is 825821484.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 484128528.

It is not an unprimeable number, because it can be changed into a prime (484128527) 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, 129826 + ... + 133502.

Almost surely, 2484128528 is an apocalyptic number.

484128528 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 484128528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676810848).

484128528 is an abundant number, since it is smaller than the sum of its proper divisors (869493168).

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

484128528 is a wasteful number, since it uses less digits than its factorization.

484128528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3906 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 484128528 is about 22002.9208970082. The cubic root of 484128528 is about 785.2119340680.

The spelling of 484128528 in words is "four hundred eighty-four million, one hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 211 312 422 624 633 844 1266 1688 2532 2743 3376 3677 5064 5486 7354 8229 10128 10972 11031 14708 16458 21944 22062 29416 32916 43888 44124 47801 58832 65832 88248 95602 131664 143403 176496 191204 286806 382408 573612 764816 775847 1147224 1551694 2294448 2327541 3103388 4655082 6206776 9310164 10086011 12413552 18620328 20172022 30258033 37240656 40344044 60516066 80688088 121032132 161376176 242064264 484128528