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35485938 = 234534133
BaseRepresentation
bin1000011101011…
…1100011110010
32110202212120000
42013113203302
533041022223
63304330430
7610424355
oct207274362
973685500
1035485938
1119038124
12ba73a16
137475cc7
1449da29c
1531ae543
hex21d78f2

35485938 has 40 divisors (see below), whose sum is σ = 81034668. Its totient is φ = 11602656.

The previous prime is 35485927. The next prime is 35485943. The reversal of 35485938 is 83958453.

It is a happy number.

35485938 is a `hidden beast` number, since 3 + 54 + 8 + 593 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33489369 + 1996569 = 5787^2 + 1413^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35485893 and 35485902.

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, 6520 + ... + 10652.

Almost surely, 235485938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35485938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40517334).

35485938 is an abundant number, since it is smaller than the sum of its proper divisors (45548730).

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

35485938 is a wasteful number, since it uses less digits than its factorization.

35485938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4191 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 35485938 is about 5957.0074701984. The cubic root of 35485938 is about 328.6135217834.

The spelling of 35485938 in words is "thirty-five million, four hundred eighty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4133 4293 8266 8586 12399 24798 37197 74394 111591 219049 223182 334773 438098 657147 669546 1314294 1971441 3942882 5914323 11828646 17742969 35485938