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36161312 = 2511176043
BaseRepresentation
bin1000100111110…
…0011100100000
32112001011222212
42021330130200
533224130222
63331021252
7616236365
oct211743440
975034885
1036161312
1119459590
121013a828
137651535
144b3446c
1532946e2
hex227c720

36161312 has 48 divisors (see below), whose sum is σ = 82246752. Its totient is φ = 15467520.

The previous prime is 36161311. The next prime is 36161383. The reversal of 36161312 is 21316163.

It is a happy number.

It is a super-2 number, since 2×361613122 = 2615280971122688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36161311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2963 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (1713474).

Almost surely, 236161312 is an apocalyptic number.

36161312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41123376).

36161312 is an abundant number, since it is smaller than the sum of its proper divisors (46085440).

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

36161312 is a wasteful number, since it uses less digits than its factorization.

36161312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6073 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 36161312 is about 6013.4276415369. The cubic root of 36161312 is about 330.6851757185.

Adding to 36161312 its reverse (21316163), we get a palindrome (57477475).

The spelling of 36161312 in words is "thirty-six million, one hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 6043 12086 24172 48344 66473 96688 102731 132946 193376 205462 265892 410924 531784 821848 1063568 1130041 1643696 2127136 2260082 3287392 4520164 9040328 18080656 36161312