Search a number
-
+
4797216 = 253216657
BaseRepresentation
bin10010010011001100100000
3100000201112200
4102103030200
52212002331
6250453200
755530024
oct22231440
910021480
104797216
112787246
121734200
13cbc6b8
148cc384
1564b5e6
hex493320

4797216 has 36 divisors (see below), whose sum is σ = 13642902. Its totient is φ = 1598976.

The previous prime is 4797211. The next prime is 4797227. The reversal of 4797216 is 6127974.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 2250000 = 1596^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×47972164 (a number of 28 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4797211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8041 + ... + 8616.

Almost surely, 24797216 is an apocalyptic number.

It is an amenable number.

4797216 is an abundant number, since it is smaller than the sum of its proper divisors (8845686).

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

4797216 is a wasteful number, since it uses less digits than its factorization.

4797216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16673 (or 16662 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4797216 is about 2190.2547797003. The cubic root of 4797216 is about 168.6539140235.

The spelling of 4797216 in words is "four million, seven hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16657 33314 49971 66628 99942 133256 149913 199884 266512 299826 399768 533024 599652 799536 1199304 1599072 2398608 4797216