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1820816025 = 352717204013
BaseRepresentation
bin110110010000111…
…0111001010011001
311200220012001000120
41230201313022121
512212112103100
6500402223453
763056452350
oct15441671231
94626161016
101820816025
11854892036
12429954b89
132302caa42
14133b74997
15a9cbb0a0
hex6c877299

1820816025 has 48 divisors (see below), whose sum is σ = 3642873984. Its totient is φ = 783406080.

The previous prime is 1820816009. The next prime is 1820816033. The reversal of 1820816025 is 5206180281.

It is not a de Polignac number, because 1820816025 - 24 = 1820816009 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93082 + ... + 110931.

It is an arithmetic number, because the mean of its divisors is an integer number (75893208).

Almost surely, 21820816025 is an apocalyptic number.

1820816025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1820816025 is an abundant number, since it is smaller than the sum of its proper divisors (1822057959).

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

1820816025 is a wasteful number, since it uses less digits than its factorization.

1820816025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204050 (or 204045 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1820816025 is about 42671.0209041218. The cubic root of 1820816025 is about 1221.1115966045. Note that the first 3 decimals are identical.

The spelling of 1820816025 in words is "one billion, eight hundred twenty million, eight hundred sixteen thousand, twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 8925 204013 612039 1020065 1428091 3060195 3468221 4284273 5100325 7140455 10404663 15300975 17341105 21421365 24277547 35702275 52023315 72832641 86705525 107106825 121387735 260116575 364163205 606938675 1820816025