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65038950 = 2355253101
BaseRepresentation
bin1111100000011…
…0101001100110
311112101022200000
43320012221212
5113122221300
610242002130
71416551634
oct370065146
9145338600
1065038950
11337927a9
1219946346
13106226b2
1488d0354
155a9ac00
hex3e06a66

65038950 has 144 divisors (see below), whose sum is σ = 186456816. Its totient is φ = 16848000.

The previous prime is 65038943. The next prime is 65038979. The reversal of 65038950 is 5983056.

65038950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 643900 + ... + 644000.

It is an arithmetic number, because the mean of its divisors is an integer number (1294839).

Almost surely, 265038950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65038950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93228408).

65038950 is an abundant number, since it is smaller than the sum of its proper divisors (121417866).

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

65038950 is a wasteful number, since it uses less digits than its factorization.

65038950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 65038950 is about 8064.6729629911. The cubic root of 65038950 is about 402.1528712422.

The spelling of 65038950 in words is "sixty-five million, thirty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 81 90 101 106 135 150 159 162 202 225 243 265 270 303 318 405 450 477 486 505 530 606 675 795 810 909 954 1010 1215 1325 1350 1431 1515 1590 1818 2025 2385 2430 2525 2650 2727 2862 3030 3975 4050 4293 4545 4770 5050 5353 5454 6075 7155 7575 7950 8181 8586 9090 10706 11925 12150 12879 13635 14310 15150 16059 16362 21465 22725 23850 24543 25758 26765 27270 32118 35775 40905 42930 45450 48177 49086 53530 64395 68175 71550 80295 81810 96354 107325 122715 128790 133825 136350 144531 160590 204525 214650 240885 245430 267650 289062 321975 401475 409050 433593 481770 613575 643950 722655 802950 867186 1204425 1227150 1300779 1445310 2167965 2408850 2601558 3613275 4335930 6503895 7226550 10839825 13007790 21679650 32519475 65038950