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35138296 = 23192233
BaseRepresentation
bin1000011000001…
…0101011111000
32110010012200101
42012002223320
532443411141
63253045144
7604446004
oct206025370
973105611
1035138296
111891aa16
12b9267b4
1373839bb
144949704
153141531
hex2182af8

35138296 has 48 divisors (see below), whose sum is σ = 72694800. Its totient is φ = 15920784.

The previous prime is 35138287. The next prime is 35138297. The reversal of 35138296 is 69283153.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35138297) 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, 1527741 + ... + 1527763.

It is an arithmetic number, because the mean of its divisors is an integer number (1514475).

Almost surely, 235138296 is an apocalyptic number.

It is an amenable number.

35138296 is an abundant number, since it is smaller than the sum of its proper divisors (37556504).

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

35138296 is an equidigital number, since it uses as much as digits as its factorization.

35138296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 44 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 35138296 is about 5927.7564052515. The cubic root of 35138296 is about 327.5368985095.

The spelling of 35138296 in words is "thirty-five million, one hundred thirty-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 361 437 529 722 874 1058 1444 1748 2116 2888 3496 4232 8303 10051 12167 16606 20102 24334 33212 40204 48668 66424 80408 97336 190969 231173 381938 462346 763876 924692 1527752 1849384 4392287 8784574 17569148 35138296