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35138208 = 253752289
BaseRepresentation
bin1000011000001…
…0101010100000
32110010012120010
42012002222200
532443410313
63253044520
7604445520
oct206025240
973105503
1035138208
111891a946
12b926740
137383951
144949680
1531414c3
hex2182aa0

35138208 has 48 divisors (see below), whose sum is σ = 105416640. Its totient is φ = 10039296.

The previous prime is 35138183. The next prime is 35138209. The reversal of 35138208 is 80283153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×351382082 = 2469387322902528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35138209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25473 + ... + 26816.

It is an arithmetic number, because the mean of its divisors is an integer number (2196180).

Almost surely, 235138208 is an apocalyptic number.

It is an amenable number.

35138208 is an abundant number, since it is smaller than the sum of its proper divisors (70278432).

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

35138208 is a wasteful number, since it uses less digits than its factorization.

35138208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52309 (or 52301 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 35138208 is about 5927.7489825397. The cubic root of 35138208 is about 327.5366250825.

The spelling of 35138208 in words is "thirty-five million, one hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 52289 104578 156867 209156 313734 366023 418312 627468 732046 836624 1098069 1254936 1464092 1673248 2196138 2509872 2928184 4392276 5019744 5856368 8784552 11712736 17569104 35138208