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428082640 = 24541130513
BaseRepresentation
bin11001100001000…
…000010111010000
31002211111211222121
4121201000113100
51334042121030
6110251144024
713415433226
oct3141002720
91084454877
10428082640
111aa706907
12bb445014
136a8c494b
1440bd4b16
15278ae47a
hex198405d0

428082640 has 40 divisors (see below), whose sum is σ = 1019575368. Its totient is φ = 167055360.

The previous prime is 428082581. The next prime is 428082679. The reversal of 428082640 is 46280824.

It can be written as a sum of positive squares in 4 ways, for example, as 10942864 + 417139776 = 3308^2 + 20424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 428082596 and 428082605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61977 + ... + 68536.

Almost surely, 2428082640 is an apocalyptic number.

428082640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428082640 is an abundant number, since it is smaller than the sum of its proper divisors (591492728).

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

428082640 is a wasteful number, since it uses less digits than its factorization.

428082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130567 (or 130561 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 428082640 is about 20690.1580467622. The cubic root of 428082640 is about 753.6607047323.

The spelling of 428082640 in words is "four hundred twenty-eight million, eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 130513 261026 522052 652565 1044104 1305130 2088208 2610260 5220520 5351033 10441040 10702066 21404132 26755165 42808264 53510330 85616528 107020660 214041320 428082640