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1828845840 = 24357620191
BaseRepresentation
bin110110100000001…
…1111100100010000
311201110021222212010
41231000133210100
512221141031330
6501250302520
763214635033
oct15500374420
94643258763
101828845840
11859376a48
12430587a40
13231b7c903
14134c6501a
15aa8553b0
hex6d01f910

1828845840 has 40 divisors (see below), whose sum is σ = 5669422848. Its totient is φ = 487692160.

The previous prime is 1828845827. The next prime is 1828845881. The reversal of 1828845840 is 485488281.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1828845840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3809856 + ... + 3810335.

Almost surely, 21828845840 is an apocalyptic number.

1828845840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828845840 is an abundant number, since it is smaller than the sum of its proper divisors (3840577008).

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

1828845840 is a wasteful number, since it uses less digits than its factorization.

1828845840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620207 (or 7620201 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 48.

The square root of 1828845840 is about 42765.0071904589. The cubic root of 1828845840 is about 1222.9040020371.

The spelling of 1828845840 in words is "one billion, eight hundred twenty-eight million, eight hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7620191 15240382 22860573 30480764 38100955 45721146 60961528 76201910 91442292 114302865 121923056 152403820 182884584 228605730 304807640 365769168 457211460 609615280 914422920 1828845840