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5032224 = 2532101173
BaseRepresentation
bin10011001100100100100000
3100110122220200
4103030210200
52242012344
6255505200
760526131
oct23144440
910418820
105032224
11292786a
121828200
131072662
1494dc88
15696069
hex4cc920

5032224 has 72 divisors (see below), whose sum is σ = 14535612. Its totient is φ = 1651200.

The previous prime is 5032219. The next prime is 5032249. The reversal of 5032224 is 4222305.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 1299600 = 1932^2 + 1140^2 .

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5032197 and 5032206.

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, 29002 + ... + 29174.

Almost surely, 25032224 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 5032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267806).

5032224 is an abundant number, since it is smaller than the sum of its proper divisors (9503388).

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

5032224 is a wasteful number, since it uses less digits than its factorization.

5032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5032224 is about 2243.2619107006. The cubic root of 5032224 is about 171.3641567515.

Adding to 5032224 its reverse (4222305), we get a palindrome (9254529).

The spelling of 5032224 in words is "five million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 173 202 288 303 346 404 519 606 692 808 909 1038 1212 1384 1557 1616 1818 2076 2424 2768 3114 3232 3636 4152 4848 5536 6228 7272 8304 9696 12456 14544 16608 17473 24912 29088 34946 49824 52419 69892 104838 139784 157257 209676 279568 314514 419352 559136 629028 838704 1258056 1677408 2516112 5032224