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821808972 = 2232172313249
BaseRepresentation
bin110000111110111…
…100111101001100
32010021101012222100
4300332330331030
53140340341342
6213314115100
726236155345
oct6076747514
92107335870
10821808972
11391987276
121ab27ba90
1310134a7ca
147b2050cc
154c233e4c
hex30fbcf4c

821808972 has 36 divisors (see below), whose sum is σ = 2078713000. Its totient is φ = 273756672.

The previous prime is 821808877. The next prime is 821808973. The reversal of 821808972 is 279808128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (821808973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55404 + ... + 68652.

Almost surely, 2821808972 is an apocalyptic number.

It is an amenable number.

821808972 is an abundant number, since it is smaller than the sum of its proper divisors (1256904028).

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

821808972 is a wasteful number, since it uses less digits than its factorization.

821808972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14982 (or 14977 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 821808972 is about 28667.2107467748. The cubic root of 821808972 is about 936.6779413516.

The spelling of 821808972 in words is "eight hundred twenty-one million, eight hundred eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1723 3446 5169 6892 10338 13249 15507 20676 26498 31014 39747 52996 62028 79494 119241 158988 238482 476964 22828027 45656054 68484081 91312108 136968162 205452243 273936324 410904486 821808972