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36470864 = 242983947
BaseRepresentation
bin1000101100100…
…0000001010000
32112121220121202
42023020001100
533314031424
63341410332
7621666023
oct213100120
975556552
1036470864
1119650111
12102699a8
13772c3c1
144bb51ba
1533062ae
hex22c8050

36470864 has 40 divisors (see below), whose sum is σ = 74057760. Its totient is φ = 17376128.

The previous prime is 36470857. The next prime is 36470867. The reversal of 36470864 is 46807463.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36470867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38039 + ... + 38985.

It is an arithmetic number, because the mean of its divisors is an integer number (1851444).

Almost surely, 236470864 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 36470864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37028880).

36470864 is an abundant number, since it is smaller than the sum of its proper divisors (37586896).

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

36470864 is a wasteful number, since it uses less digits than its factorization.

36470864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 36470864 is about 6039.1111928826. Note that the first 4 decimals coincide. The cubic root of 36470864 is about 331.6260850606.

The spelling of 36470864 in words is "thirty-six million, four hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 83 116 166 232 332 464 664 947 1328 1894 2407 3788 4814 7576 9628 15152 19256 27463 38512 54926 78601 109852 157202 219704 314404 439408 628808 1257616 2279429 4558858 9117716 18235432 36470864