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36868224 = 273671433
BaseRepresentation
bin1000110010100…
…1000010000000
32120101002200210
42030221002000
533414240344
63354114120
7625242351
oct214510200
976332623
1036868224
11198a1708
121041b940
13783b223
144c79d28
153383db9
hex2329080

36868224 has 64 divisors (see below), whose sum is σ = 99462240. Its totient is φ = 12097536.

The previous prime is 36868219. The next prime is 36868261. The reversal of 36868224 is 42286863.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 25012 + ... + 26444.

Almost surely, 236868224 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 36868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49731120).

36868224 is an abundant number, since it is smaller than the sum of its proper divisors (62594016).

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

36868224 is a wasteful number, since it uses less digits than its factorization.

36868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1505 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 36868224 is about 6071.9209481020. The cubic root of 36868224 is about 332.8261228262.

The spelling of 36868224 in words is "thirty-six million, eight hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1433 1608 2144 2866 3216 4288 4299 5732 6432 8576 8598 11464 12864 17196 22928 25728 34392 45856 68784 91712 96011 137568 183424 192022 275136 288033 384044 550272 576066 768088 1152132 1536176 2304264 3072352 4608528 6144704 9217056 12289408 18434112 36868224