Search a number
-
+
35056125 = 3353131747
BaseRepresentation
bin1000010110111…
…0100111111101
32102222000222000
42011232213331
532433244000
63251212513
7603654306
oct205564775
972860860
1035056125
1118874205
12b8a7139
137355490
1449277ad
153127000
hex216e9fd

35056125 has 128 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 15897600.

The previous prime is 35056123. The next prime is 35056127. The reversal of 35056125 is 52165053.

It is an interprime number because it is at equal distance from previous prime (35056123) and next prime (35056127).

It is not a de Polignac number, because 35056125 - 21 = 35056123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35056123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 745852 + ... + 745898.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 235056125 is an apocalyptic number.

It is an amenable number.

35056125 is an abundant number, since it is smaller than the sum of its proper divisors (40422915).

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

35056125 is a wasteful number, since it uses less digits than its factorization.

35056125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 35056125 is about 5920.8213112709. The cubic root of 35056125 is about 327.2813839251.

The spelling of 35056125 in words is "thirty-five million, fifty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 47 51 65 75 85 117 125 135 141 153 195 221 225 235 255 325 351 375 423 425 459 585 611 663 675 705 765 799 975 1105 1125 1175 1269 1275 1625 1755 1833 1989 2115 2125 2295 2397 2925 3055 3315 3375 3525 3825 3995 4875 5499 5525 5875 5967 6345 6375 7191 8775 9165 9945 10387 10575 11475 11985 14625 15275 16497 16575 17625 19125 19975 21573 27495 27625 29835 31161 31725 35955 43875 45825 49725 51935 52875 57375 59925 76375 82485 82875 93483 99875 107865 137475 149175 155805 158625 179775 229125 248625 259675 280449 299625 412425 467415 539325 687375 745875 779025 898875 1298375 1402245 2062125 2337075 2696625 3895125 7011225 11685375 35056125