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828944080 = 24510361801
BaseRepresentation
bin110001011010001…
…010111011010000
32010202210201111121
4301122022323100
53144202202310
6214131052024
726353623406
oct6132127320
92122721447
10828944080
11395a0aa58
121b1741014
13102978373
147c141476
154cb930da
hex3168aed0

828944080 has 20 divisors (see below), whose sum is σ = 1927295172. Its totient is φ = 331577600.

The previous prime is 828944063. The next prime is 828944101. The reversal of 828944080 is 80449828.

It can be written as a sum of positive squares in 2 ways, for example, as 585833616 + 243110464 = 24204^2 + 15592^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5180821 + ... + 5180980.

Almost surely, 2828944080 is an apocalyptic number.

828944080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828944080 is an abundant number, since it is smaller than the sum of its proper divisors (1098351092).

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

828944080 is a wasteful number, since it uses less digits than its factorization.

828944080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361814 (or 10361808 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 828944080 is about 28791.3889904603. The cubic root of 828944080 is about 939.3809414210.

The spelling of 828944080 in words is "eight hundred twenty-eight million, nine hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10361801 20723602 41447204 51809005 82894408 103618010 165788816 207236020 414472040 828944080