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52345755 = 32571115107
BaseRepresentation
bin1100011110101…
…1101110011011
310122111102212200
43013223232123
5101400031010
65105541243
71203634350
oct307535633
9118442780
1052345755
1127603160
1215644823
13aaca027
146d48627
1548decc0
hex31ebb9b

52345755 has 48 divisors (see below), whose sum is σ = 113128704. Its totient is φ = 21752640.

The previous prime is 52345753. The next prime is 52345757. The reversal of 52345755 is 55754325.

52345755 is a `hidden beast` number, since 52 + 34 + 575 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (52345753) and next prime (52345757).

It is not a de Polignac number, because 52345755 - 21 = 52345753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52345751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4089 + ... + 11018.

It is an arithmetic number, because the mean of its divisors is an integer number (2356848).

Almost surely, 252345755 is an apocalyptic number.

52345755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52345755 is an abundant number, since it is smaller than the sum of its proper divisors (60782949).

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

52345755 is a wasteful number, since it uses less digits than its factorization.

52345755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15136 (or 15133 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 52345755 is about 7235.0366274125. The cubic root of 52345755 is about 374.0765545292.

The spelling of 52345755 in words is "fifty-two million, three hundred forty-five thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 15107 45321 75535 105749 135963 166177 226605 317247 498531 528745 679815 830885 951741 1163239 1495593 1586235 2492655 3489717 4758705 5816195 7477965 10469151 17448585 52345755