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52345935 = 32537149211
BaseRepresentation
bin1100011110101…
…1110001001111
310122111110010100
43013223301033
5101400032220
65105542143
71203635025
oct307536117
9118443110
1052345935
1127603304
1215644953
13aaca135
146d48715
1548ded90
hex31ebc4f

52345935 has 48 divisors (see below), whose sum is σ = 94255200. Its totient is φ = 26853120.

The previous prime is 52345901. The next prime is 52345967. The reversal of 52345935 is 53954325.

52345935 is a `hidden beast` number, since 523 + 45 + 93 + 5 = 666.

It is not a de Polignac number, because 52345935 - 210 = 52344911 is a prime.

It is a super-2 number, since 2×523459352 = 5480193822048450, which contains 22 as substring.

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

Its product of digits (81000) is a multiple of the sum of its prime divisors (405).

It is a self number, because there is not a number n which added to its sum of digits gives 52345935.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247980 + ... + 248190.

It is an arithmetic number, because the mean of its divisors is an integer number (1963650).

Almost surely, 252345935 is an apocalyptic number.

52345935 is a deficient number, since it is larger than the sum of its proper divisors (41909265).

52345935 is a wasteful number, since it uses less digits than its factorization.

52345935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 52345935 is about 7235.0490668689. The cubic root of 52345935 is about 374.0769833045.

The spelling of 52345935 in words is "fifty-two million, three hundred forty-five thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 37 45 111 149 185 211 333 447 555 633 745 1055 1341 1665 1899 2235 3165 5513 6705 7807 9495 16539 23421 27565 31439 39035 49617 70263 82695 94317 117105 157195 248085 282951 351315 471585 1163243 1414755 3489729 5816215 10469187 17448645 52345935