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35142444 = 2233714583
BaseRepresentation
bin1000011000001…
…1101100101100
32110010102101000
42012003230230
532444024234
63253120300
7604464051
oct206035454
973112330
1035142444
1118923047
12b929090
13738585c
14494b028
153142899
hex2183b2c

35142444 has 48 divisors (see below), whose sum is σ = 92413440. Its totient is φ = 11546640.

The previous prime is 35142433. The next prime is 35142463. The reversal of 35142444 is 44424153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 5377 + ... + 9959.

It is an arithmetic number, because the mean of its divisors is an integer number (1925280).

Almost surely, 235142444 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 35142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46206720).

35142444 is an abundant number, since it is smaller than the sum of its proper divisors (57270996).

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

35142444 is a wasteful number, since it uses less digits than its factorization.

35142444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4659 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 35142444 is about 5928.1062743510. The cubic root of 35142444 is about 327.5497863437.

Adding to 35142444 its reverse (44424153), we get a palindrome (79566597).

The spelling of 35142444 in words is "thirty-five million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 4583 7668 9166 13749 18332 27498 41247 54996 82494 123741 164988 247482 325393 494964 650786 976179 1301572 1952358 2928537 3904716 5857074 8785611 11714148 17571222 35142444