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36318016 = 267237313
BaseRepresentation
bin1000101010001…
…0101101000000
32112100010221201
42022202231000
533244134031
63334230544
7620461300
oct212425500
975303851
1036318016
1119556299
12101b5454
1376a7967
144b75600
1532c5d61
hex22a2b40

36318016 has 84 divisors (see below), whose sum is σ = 86375748. Its totient is φ = 15095808.

The previous prime is 36318013. The next prime is 36318017. The reversal of 36318016 is 61081363.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 22657600 = 3696^2 + 4760^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36318013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115876 + ... + 116188.

Almost surely, 236318016 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 36318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43187874).

36318016 is an abundant number, since it is smaller than the sum of its proper divisors (50057732).

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

36318016 is a wasteful number, since it uses less digits than its factorization.

36318016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 36318016 is about 6026.4430636985. The cubic root of 36318016 is about 331.1621589321.

Adding to 36318016 its reverse (61081363), we get a palindrome (97399379).

The spelling of 36318016 in words is "thirty-six million, three hundred eighteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 148 196 224 259 296 313 392 448 518 592 626 784 1036 1184 1252 1568 1813 2072 2191 2368 2504 3136 3626 4144 4382 5008 7252 8288 8764 10016 11581 14504 15337 16576 17528 20032 23162 29008 30674 35056 46324 58016 61348 70112 81067 92648 116032 122696 140224 162134 185296 245392 324268 370592 490784 567469 648536 741184 981568 1134938 1297072 2269876 2594144 4539752 5188288 9079504 18159008 36318016