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35028252 = 22327971433
BaseRepresentation
bin1000010110011…
…1110100011100
32102220121201200
42011213310130
532431401002
63250435500
7603510120
oct205476434
972817650
1035028252
1118855276
12b892b90
13734589c
14491b580
15311db1c
hex2167d1c

35028252 has 72 divisors (see below), whose sum is σ = 102307296. Its totient is φ = 9897984.

The previous prime is 35028193. The next prime is 35028271. The reversal of 35028252 is 25282053.

35028252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23728 + ... + 25160.

Almost surely, 235028252 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 35028252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51153648).

35028252 is an abundant number, since it is smaller than the sum of its proper divisors (67279044).

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

35028252 is a wasteful number, since it uses less digits than its factorization.

35028252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 35028252 is about 5918.4670312506. The cubic root of 35028252 is about 327.1946208388.

The spelling of 35028252 in words is "thirty-five million, twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1433 1746 2037 2716 2866 3492 4074 4299 5732 6111 8148 8598 10031 12222 12897 17196 20062 24444 25794 30093 40124 51588 60186 90279 120372 139001 180558 278002 361116 417003 556004 834006 973007 1251009 1668012 1946014 2502018 2919021 3892028 5004036 5838042 8757063 11676084 17514126 35028252