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1828146432 = 2837340057
BaseRepresentation
bin110110011110111…
…0100110100000000
311201101222110110010
41230331310310000
512221001141212
6501223304520
763205662660
oct15475646400
94641873403
101828146432
11858a39522
124302ab140
13231996468
14134b221a0
15aa76803c
hex6cf74d00

1828146432 has 72 divisors (see below), whose sum is σ = 5560628416. Its totient is φ = 522326016.

The previous prime is 1828146371. The next prime is 1828146433. The reversal of 1828146432 is 2346418281.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828146433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164653 + ... + 175404.

Almost surely, 21828146432 is an apocalyptic number.

1828146432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1828146432 is an abundant number, since it is smaller than the sum of its proper divisors (3732481984).

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

1828146432 is an equidigital number, since it uses as much as digits as its factorization.

1828146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340083 (or 340069 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 1828146432 is about 42756.8290685827. The cubic root of 1828146432 is about 1222.7480898804.

The spelling of 1828146432 in words is "one billion, eight hundred twenty-eight million, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 340057 680114 1020171 1360228 2040342 2380399 2720456 4080684 4760798 5440912 7141197 8161368 9521596 10881824 14282394 16322736 19043192 21763648 28564788 32645472 38086384 43527296 57129576 65290944 76172768 87054592 114259152 130581888 152345536 228518304 261163776 304691072 457036608 609382144 914073216 1828146432