Search a number
-
+
35052052 = 2272434159
BaseRepresentation
bin1000010110110…
…1101000010100
32102221211101011
42011231220110
532433131202
63251142004
7603636400
oct205555024
972854334
1035052052
1118871142
12b8a4904
137353679
144926100
153125bd7
hex216da14

35052052 has 36 divisors (see below), whose sum is σ = 73032960. Its totient is φ = 14669424.

The previous prime is 35052037. The next prime is 35052053. The reversal of 35052052 is 25025053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35052053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6349 + ... + 10507.

Almost surely, 235052052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35052052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36516480).

35052052 is an abundant number, since it is smaller than the sum of its proper divisors (37980908).

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

35052052 is a wasteful number, since it uses less digits than its factorization.

35052052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 35052052 is about 5920.4773456200. The cubic root of 35052052 is about 327.2687083588.

The spelling of 35052052 in words is "thirty-five million, fifty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 2107 4159 4214 8318 8428 16636 29113 58226 116452 178837 203791 357674 407582 715348 815164 1251859 2503718 5007436 8763013 17526026 35052052