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52776144 = 2433122167
BaseRepresentation
bin1100100101010…
…0110011010000
310200022022021000
43021110303100
5102002314034
65123102000
71210406211
oct311246320
9120268230
1052776144
1127877553
1215811900
13ac1abb5
14701b408
154977599
hex3254cd0

52776144 has 40 divisors (see below), whose sum is σ = 151488320. Its totient is φ = 17591904.

The previous prime is 52776127. The next prime is 52776169. The reversal of 52776144 is 44167725.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52776099 and 52776108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60652 + ... + 61515.

It is an arithmetic number, because the mean of its divisors is an integer number (3787208).

Almost surely, 252776144 is an apocalyptic number.

52776144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52776144 is an abundant number, since it is smaller than the sum of its proper divisors (98712176).

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

52776144 is a wasteful number, since it uses less digits than its factorization.

52776144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122184 (or 122172 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 52776144 is about 7264.7191273992. The cubic root of 52776144 is about 375.0989818713.

The spelling of 52776144 in words is "fifty-two million, seven hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 122167 244334 366501 488668 733002 977336 1099503 1466004 1954672 2199006 2932008 3298509 4398012 5864016 6597018 8796024 13194036 17592048 26388072 52776144