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290175138 = 232118317657
BaseRepresentation
bin10001010010111…
…011100010100010
3202020000102110100
4101102323202202
51043241101023
644443243230
710122306441
oct2122734242
9666012410
10290175138
11139883970
1281219516
134816ab86
142a776d58
151a71cc43
hex114bb8a2

290175138 has 48 divisors (see below), whose sum is σ = 694171296. Its totient is φ = 86867520.

The previous prime is 290175079. The next prime is 290175139. The reversal of 290175138 is 831571092.

It is a super-2 number, since 2×2901751382 = 168403221426638088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290175139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7606 + ... + 25262.

It is an arithmetic number, because the mean of its divisors is an integer number (14461902).

Almost surely, 2290175138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290175138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347085648).

290175138 is an abundant number, since it is smaller than the sum of its proper divisors (403996158).

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

290175138 is a wasteful number, since it uses less digits than its factorization.

290175138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17759 (or 17756 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 290175138 is about 17034.5278185220. The cubic root of 290175138 is about 662.0438159162.

The spelling of 290175138 in words is "two hundred ninety million, one hundred seventy-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1494 1826 2739 5478 8217 16434 17657 35314 52971 105942 158913 194227 317826 388454 582681 1165362 1465531 1748043 2931062 3496086 4396593 8793186 13189779 16120841 26379558 32241682 48362523 96725046 145087569 290175138