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52711100 = 22521323119
BaseRepresentation
bin1100100100010…
…0111010111100
310200012000000222
43021010322330
5101443223400
65121440512
71210015451
oct311047274
9120160028
1052711100
11278326a2
12157a0138
13abc7400
147001828
154963185
hex3244ebc

52711100 has 54 divisors (see below), whose sum is σ = 123898320. Its totient is φ = 19456320.

The previous prime is 52711081. The next prime is 52711123. The reversal of 52711100 is 111725.

52711100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 17 ways as a sum of consecutive naturals, for example, 15341 + ... + 18459.

Almost surely, 252711100 is an apocalyptic number.

52711100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52711100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61949160).

52711100 is an abundant number, since it is smaller than the sum of its proper divisors (71187220).

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

52711100 is a wasteful number, since it uses less digits than its factorization.

52711100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 52711100 is about 7260.2410428305. The cubic root of 52711100 is about 374.9448215109.

Adding to 52711100 its reverse (111725), we get a palindrome (52822825).

The spelling of 52711100 in words is "fifty-two million, seven hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3119 3380 4225 6238 8450 12476 15595 16900 31190 40547 62380 77975 81094 155950 162188 202735 311900 405470 527111 810940 1013675 1054222 2027350 2108444 2635555 4054700 5271110 10542220 13177775 26355550 52711100