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53124224 = 271812293
BaseRepresentation
bin1100101010100…
…1110010000000
310200221222201212
43022221302000
5102044433344
65134345252
71213356056
oct312516200
9120858655
1053124224
1127a9501a
121595b228
13b01046a
1470ac1d6
1549e579e
hex32a9c80

53124224 has 32 divisors (see below), whose sum is σ = 106464540. Its totient is φ = 26403840.

The previous prime is 53124191. The next prime is 53124251. The reversal of 53124224 is 42242135.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43138624 + 9985600 = 6568^2 + 3160^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 53124224.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22022 + ... + 24314.

Almost surely, 253124224 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 53124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53232270).

53124224 is an abundant number, since it is smaller than the sum of its proper divisors (53340316).

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

53124224 is a wasteful number, since it uses less digits than its factorization.

53124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2476 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 53124224 is about 7288.6366352014. The cubic root of 53124224 is about 375.9218186627.

Adding to 53124224 its reverse (42242135), we get a palindrome (95366359).

The spelling of 53124224 in words is "fifty-three million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2293 2896 4586 5792 9172 11584 18344 23168 36688 73376 146752 293504 415033 830066 1660132 3320264 6640528 13281056 26562112 53124224