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36044064 = 2532719941
BaseRepresentation
bin1000100101111…
…1110100100000
32111211020011100
42021133310200
533211402224
63324314400
7615240510
oct211376440
974736140
1036044064
1119389491
12100a2a00
137610064
144b03840
15326eac9
hex225fd20

36044064 has 144 divisors (see below), whose sum is σ = 123439680. Its totient is φ = 9745920.

The previous prime is 36044053. The next prime is 36044077. The reversal of 36044064 is 46044063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37834 + ... + 38774.

It is an arithmetic number, because the mean of its divisors is an integer number (857220).

Almost surely, 236044064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61719840).

36044064 is an abundant number, since it is smaller than the sum of its proper divisors (87395616).

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

36044064 is a wasteful number, since it uses less digits than its factorization.

36044064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 36044064 is about 6003.6708770551. The cubic root of 36044064 is about 330.3273885934.

Subtracting 36044064 from its reverse (46044063), we obtain a palindrome (9999999).

The spelling of 36044064 in words is "thirty-six million, forty-four thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 941 1008 1064 1197 1368 1596 1824 1882 2016 2128 2394 2736 2823 3192 3764 4256 4788 5472 5646 6384 6587 7528 8469 9576 11292 12768 13174 15056 16938 17879 19152 19761 22584 26348 30112 33876 35758 38304 39522 45168 52696 53637 59283 67752 71516 79044 90336 105392 107274 118566 125153 135504 143032 158088 160911 210784 214548 237132 250306 271008 286064 316176 321822 375459 429096 474264 500612 572128 632352 643644 750918 858192 948528 1001224 1126377 1287288 1501836 1716384 1897056 2002448 2252754 2574576 3003672 4004896 4505508 5149152 6007344 9011016 12014688 18022032 36044064