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442703828 = 22727330941
BaseRepresentation
bin11010011000110…
…001111111010100
31010212000200111002
4122120301333110
51401313010303
6111532402432
713653630500
oct3230617724
91125020432
10442703828
11207992a36
12104316418
1370943a38
1442b1d300
1528ceb788
hex1a631fd4

442703828 has 36 divisors (see below), whose sum is σ = 913593492. Its totient is φ = 187125120.

The previous prime is 442703809. The next prime is 442703861. The reversal of 442703828 is 828307244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 187087684 + 255616144 = 13678^2 + 15988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442703791 and 442703800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1163 + ... + 29778.

It is an arithmetic number, because the mean of its divisors is an integer number (25377597).

Almost surely, 2442703828 is an apocalyptic number.

It is an amenable number.

442703828 is an abundant number, since it is smaller than the sum of its proper divisors (470889664).

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

442703828 is a wasteful number, since it uses less digits than its factorization.

442703828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31032 (or 31023 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 442703828 is about 21040.5282253084. The cubic root of 442703828 is about 762.1452707420.

The spelling of 442703828 in words is "four hundred forty-two million, seven hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3577 7154 14308 30941 61882 123764 216587 433174 866348 1516109 2258693 3032218 4517386 6064436 9034772 15810851 31621702 63243404 110675957 221351914 442703828