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36045312 = 29331757
BaseRepresentation
bin1000100110000…
…0001000000000
32111211021212120
42021200020000
533211422222
63324324240
7615244242
oct211401000
974737776
1036045312
111938a416
12100a3680
1376107b4
144b04092
15327015c
hex2260200

36045312 has 80 divisors (see below), whose sum is σ = 99255552. Its totient is φ = 11612160.

The previous prime is 36045311. The next prime is 36045349. The reversal of 36045312 is 21354063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36045311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47238 + ... + 47994.

Almost surely, 236045312 is an apocalyptic number.

36045312 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 36045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49627776).

36045312 is an abundant number, since it is smaller than the sum of its proper divisors (63210240).

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

36045312 is an equidigital number, since it uses as much as digits as its factorization.

36045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36045312 is about 6003.7748125658. The cubic root of 36045312 is about 330.3312009994.

Adding to 36045312 its reverse (21354063), we get a palindrome (57399375).

The spelling of 36045312 in words is "thirty-six million, forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 757 768 992 1488 1514 1536 1984 2271 2976 3028 3968 4542 5952 6056 7936 9084 11904 12112 15872 18168 23467 23808 24224 36336 46934 47616 48448 70401 72672 93868 96896 140802 145344 187736 193792 281604 290688 375472 387584 563208 581376 750944 1126416 1162752 1501888 2252832 3003776 4505664 6007552 9011328 12015104 18022656 36045312