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35082138 = 23721367137
BaseRepresentation
bin1000010111010…
…0111110011010
32110000100122110
42011310332122
532440112023
63251533150
7604123200
oct205647632
973010573
1035082138
1118891803
12b8ba1b6
137364280
144933070
15312ea93
hex2174f9a

35082138 has 96 divisors (see below), whose sum is σ = 89861184. Its totient is φ = 9047808.

The previous prime is 35082133. The next prime is 35082149. The reversal of 35082138 is 83128053.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (35082133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256006 + ... + 256142.

It is an arithmetic number, because the mean of its divisors is an integer number (936054).

Almost surely, 235082138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35082138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44930592).

35082138 is an abundant number, since it is smaller than the sum of its proper divisors (54779046).

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

35082138 is a wasteful number, since it uses less digits than its factorization.

35082138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

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

The square root of 35082138 is about 5923.0176430600. The cubic root of 35082138 is about 327.3623157233.

The spelling of 35082138 in words is "thirty-five million, eighty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 67 78 91 98 134 137 147 182 201 273 274 294 402 411 469 546 637 822 871 938 959 1274 1407 1742 1781 1911 1918 2613 2814 2877 3283 3562 3822 5226 5343 5754 6097 6566 6713 9179 9849 10686 12194 12467 13426 18291 18358 19698 20139 24934 27537 36582 37401 40278 42679 55074 64253 74802 85358 87269 119327 128037 128506 174538 192759 238654 256074 261807 357981 385518 449771 523614 715962 835289 899542 1349313 1670578 2505867 2698626 5011734 5847023 11694046 17541069 35082138