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8973216 = 253274451
BaseRepresentation
bin100010001110…
…101110100000
3121212212221100
4202032232200
54244120331
6520154400
7136161660
oct42165640
917785840
108973216
11507978a
123008a00
131b223c5
1412981a0
15bc3ae6
hex88eba0

8973216 has 72 divisors (see below), whose sum is σ = 29169504. Its totient is φ = 2563200.

The previous prime is 8973199. The next prime is 8973221. The reversal of 8973216 is 6123798.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is one of the 548 Lynch-Bell numbers.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (405132).

Almost surely, 28973216 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 8973216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584752).

8973216 is an abundant number, since it is smaller than the sum of its proper divisors (20196288).

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

8973216 is a wasteful number, since it uses less digits than its factorization.

8973216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4463 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 8973216 is about 2995.5326738328. The cubic root of 8973216 is about 207.8018329573.

The spelling of 8973216 in words is "eight million, nine hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4451 8902 13353 17804 26706 31157 35608 40059 53412 62314 71216 80118 93471 106824 124628 142432 160236 186942 213648 249256 280413 320472 373884 427296 498512 560826 640944 747768 997024 1121652 1281888 1495536 2243304 2991072 4486608 8973216