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52877825 = 52711132113
BaseRepresentation
bin1100100110110…
…1101000000001
310200111110201222
43021231220001
5102014042300
65125204425
71211311520
oct311555001
9120443658
1052877825
1127936990
1215860715
13ac55270
1470464b7
154997785
hex326da01

52877825 has 48 divisors (see below), whose sum is σ = 88077696. Its totient is φ = 30412800.

The previous prime is 52877821. The next prime is 52877833.

52877825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52877825 - 22 = 52877821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52877821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23969 + ... + 26081.

It is an arithmetic number, because the mean of its divisors is an integer number (1834952).

Almost surely, 252877825 is an apocalyptic number.

52877825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52877825 is a deficient number, since it is larger than the sum of its proper divisors (35199871).

52877825 is a wasteful number, since it uses less digits than its factorization.

52877825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2149 counting only the distinct ones).

The product of its digits is 313600, while the sum is 44.

The square root of 52877825 is about 7271.7140345313. The cubic root of 52877825 is about 375.3397217743.

The spelling of 52877825 in words is "fifty-two million, eight hundred seventy-seven thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 175 275 325 385 455 715 1001 1925 2113 2275 3575 5005 10565 14791 23243 25025 27469 52825 73955 116215 137345 162701 192283 302159 369775 581075 686725 813505 961415 1510795 2115113 4067525 4807075 7553975 10575565 52877825