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823772952 = 233211441291
BaseRepresentation
bin110001000110011…
…100011100011000
32010102002000001100
4301012130130120
53141341213302
6213424151400
726261645262
oct6106343430
92112060040
10823772952
11392aa88a2
121aba68560
13101887722
147b596b32
154c4c0d1c
hex3119c718

823772952 has 24 divisors (see below), whose sum is σ = 2231051940. Its totient is φ = 274590960.

The previous prime is 823772909. The next prime is 823772977. The reversal of 823772952 is 259277328.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 823772898 and 823772907.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5720574 + ... + 5720717.

Almost surely, 2823772952 is an apocalyptic number.

It is an amenable number.

823772952 is an abundant number, since it is smaller than the sum of its proper divisors (1407278988).

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

823772952 is a wasteful number, since it uses less digits than its factorization.

823772952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441303 (or 11441296 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 823772952 is about 28701.4451204116. The cubic root of 823772952 is about 937.4235133333.

The spelling of 823772952 in words is "eight hundred twenty-three million, seven hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 11441291 22882582 34323873 45765164 68647746 91530328 102971619 137295492 205943238 274590984 411886476 823772952