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35013828 = 2239073217
BaseRepresentation
bin1000010110010…
…0010011000100
32102212212221110
42011210103010
532430420303
63250245020
7603420063
oct205442304
972785843
1035013828
1118845453
12b886770
13733c155
1449161da
153119703
hex21644c4

35013828 has 24 divisors (see below), whose sum is σ = 81814432. Its totient is φ = 11654784.

The previous prime is 35013809. The next prime is 35013833. The reversal of 35013828 is 82831053.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 35013795 and 35013804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9276 + ... + 12492.

Almost surely, 235013828 is an apocalyptic number.

It is an amenable number.

35013828 is an abundant number, since it is smaller than the sum of its proper divisors (46800604).

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

35013828 is a wasteful number, since it uses less digits than its factorization.

35013828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4129 counting only the distinct ones).

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

The square root of 35013828 is about 5917.2483469937. The cubic root of 35013828 is about 327.1497037325.

Subtracting 35013828 from its reverse (82831053), we obtain a square (47817225 = 69152).

The spelling of 35013828 in words is "thirty-five million, thirteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 907 1814 2721 3217 3628 5442 6434 9651 10884 12868 19302 38604 2917819 5835638 8753457 11671276 17506914 35013828