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35485380 = 22325728163
BaseRepresentation
bin1000011101011…
…1011011000100
32110202211210100
42013113123010
533041013010
63304324100
7610422630
oct207273304
973684710
1035485380
1119037767
12ba73630
137475988
1449d9dc0
1531ae2c0
hex21d76c4

35485380 has 72 divisors (see below), whose sum is σ = 123020352. Its totient is φ = 8110656.

The previous prime is 35485367. The next prime is 35485381. The reversal of 35485380 is 8358453.

35485380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35485381) by changing a digit.

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, 12822 + ... + 15341.

It is an arithmetic number, because the mean of its divisors is an integer number (1708616).

Almost surely, 235485380 is an apocalyptic number.

35485380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35485380 is an abundant number, since it is smaller than the sum of its proper divisors (87534972).

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

35485380 is a wasteful number, since it uses less digits than its factorization.

35485380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28185 (or 28180 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 35485380 is about 5956.9606344175. The cubic root of 35485380 is about 328.6117993424.

The spelling of 35485380 in words is "thirty-five million, four hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 28163 56326 84489 112652 140815 168978 197141 253467 281630 337956 394282 422445 506934 563260 591423 788564 844890 985705 1013868 1182846 1267335 1689780 1774269 1971410 2365692 2534670 2957115 3548538 3942820 5069340 5914230 7097076 8871345 11828460 17742690 35485380