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35142864 = 243838821
BaseRepresentation
bin1000011000001…
…1110011010000
32110010102221120
42012003303100
532444032424
63253122240
7604465221
oct206036320
973112846
1035142864
1118923399
12b929380
137385ac3
14494b248
153142a79
hex2183cd0

35142864 has 40 divisors (see below), whose sum is σ = 91889952. Its totient is φ = 11571840.

The previous prime is 35142851. The next prime is 35142901. The reversal of 35142864 is 46824153.

It is a congruent number.

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, 427 + ... + 8394.

Almost surely, 235142864 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 35142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45944976).

35142864 is an abundant number, since it is smaller than the sum of its proper divisors (56747088).

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

35142864 is a wasteful number, since it uses less digits than its factorization.

35142864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8909 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 35142864 is about 5928.1416987113. The cubic root of 35142864 is about 327.5510912270.

The spelling of 35142864 in words is "thirty-five million, one hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 8821 17642 26463 35284 52926 70568 105852 141136 211704 423408 732143 1464286 2196429 2928572 4392858 5857144 8785716 11714288 17571432 35142864