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1808199072 = 25332092823
BaseRepresentation
bin110101111000110…
…1110110110100000
311200000110000211000
41223301232312200
512200344332242
6455231552000
762544303261
oct15361566640
94600400730
101808199072
118487547a9
1242568b600
1322a800ca4
1413220c968
15a8b27a4c
hex6bc6eda0

1808199072 has 48 divisors (see below), whose sum is σ = 5273916480. Its totient is φ = 602732736.

The previous prime is 1808199023. The next prime is 1808199077. The reversal of 1808199072 is 2709918081.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×18081990722 = 6539167767963322368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1808199077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1045548 + ... + 1047275.

It is an arithmetic number, because the mean of its divisors is an integer number (109873260).

Almost surely, 21808199072 is an apocalyptic number.

1808199072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1808199072 is an abundant number, since it is smaller than the sum of its proper divisors (3465717408).

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

1808199072 is a wasteful number, since it uses less digits than its factorization.

1808199072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092842 (or 2092828 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1808199072 is about 42522.9240763144. The cubic root of 1808199072 is about 1218.2845800618.

The spelling of 1808199072 in words is "one billion, eight hundred eight million, one hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2092823 4185646 6278469 8371292 12556938 16742584 18835407 25113876 33485168 37670814 50227752 56506221 66970336 75341628 100455504 113012442 150683256 200911008 226024884 301366512 452049768 602733024 904099536 1808199072