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35426144 = 251385159
BaseRepresentation
bin1000011100100…
…0111101100000
32110122211112102
42013020331200
533032114034
63303145532
7610055135
oct207107540
973584472
1035426144
1118aa7206
12ba452a8
137454a20
1449c258c
15319b97e
hex21c8f60

35426144 has 24 divisors (see below), whose sum is σ = 75111120. Its totient is φ = 16350336.

The previous prime is 35426123. The next prime is 35426159. The reversal of 35426144 is 44162453.

It is a super-3 number, since 3×354261443 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 42164 + ... + 42995.

It is an arithmetic number, because the mean of its divisors is an integer number (3129630).

Almost surely, 235426144 is an apocalyptic number.

It is an amenable number.

35426144 is an abundant number, since it is smaller than the sum of its proper divisors (39684976).

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

35426144 is a wasteful number, since it uses less digits than its factorization.

35426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85182 (or 85174 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 35426144 is about 5951.9865591246. The cubic root of 35426144 is about 328.4288461563.

Adding to 35426144 its reverse (44162453), we get a palindrome (79588597).

The spelling of 35426144 in words is "thirty-five million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 85159 170318 340636 681272 1107067 1362544 2214134 2725088 4428268 8856536 17713072 35426144