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35444142 = 234331661
BaseRepresentation
bin1000011100110…
…1010110101110
32110200202020000
42013031112232
533033203032
63303405130
7610161456
oct207152656
973622200
1035444142
1119009788
12ba537a6
13745cc86
1449c8d66
1531a1e7c
hex21cd5ae

35444142 has 40 divisors (see below), whose sum is σ = 79781592. Its totient is φ = 11761200.

The previous prime is 35444117. The next prime is 35444153. The reversal of 35444142 is 24144453.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53292 + ... + 53952.

Almost surely, 235444142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35444142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39890796).

35444142 is an abundant number, since it is smaller than the sum of its proper divisors (44337450).

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

35444142 is a wasteful number, since it uses less digits than its factorization.

35444142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 997 counting only the distinct ones).

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

The square root of 35444142 is about 5953.4982993195. The cubic root of 35444142 is about 328.4844553850.

Adding to 35444142 its reverse (24144453), we get a palindrome (59588595).

The spelling of 35444142 in words is "thirty-five million, four hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 331 661 662 993 1322 1983 1986 2979 3966 5949 5958 8937 11898 17847 17874 26811 35694 53541 53622 107082 218791 437582 656373 1312746 1969119 3938238 5907357 11814714 17722071 35444142