Search a number
-
+
35056945 = 57112337107
BaseRepresentation
bin1000010110111…
…0110100110001
32102222002002101
42011232310301
532433310240
63251220401
7603656560
oct205566461
972862071
1035056945
1118874890
12b8a7701
137355971
144927bd7
15312739a
hex216ed31

35056945 has 64 divisors (see below), whose sum is σ = 56733696. Its totient is φ = 20148480.

The previous prime is 35056943. The next prime is 35056949. The reversal of 35056945 is 54965053.

35056945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35056945 - 21 = 35056943 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35056943) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 327582 + ... + 327688.

It is an arithmetic number, because the mean of its divisors is an integer number (886464).

Almost surely, 235056945 is an apocalyptic number.

35056945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35056945 is the 3745-th heptagonal number.

It is an amenable number.

35056945 is a deficient number, since it is larger than the sum of its proper divisors (21676751).

35056945 is a wasteful number, since it uses less digits than its factorization.

35056945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 35056945 is about 5920.8905580157. The cubic root of 35056945 is about 327.2839357249.

The spelling of 35056945 in words is "thirty-five million, fifty-six thousand, nine hundred forty-five".

Divisors: 1 5 7 11 23 35 37 55 77 107 115 161 185 253 259 385 407 535 749 805 851 1177 1265 1295 1771 2035 2461 2849 3745 3959 4255 5885 5957 8239 8855 9361 12305 14245 17227 19795 27071 27713 29785 41195 43549 46805 65527 86135 91057 135355 138565 189497 217745 304843 327635 455285 637399 947485 1001627 1524215 3186995 5008135 7011389 35056945