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56252224 = 267307409
BaseRepresentation
bin1101011010010…
…1011101000000
310220211220112201
43112211131000
5103400032344
65325402544
71252064440
oct326453500
9126756481
1056252224
1129831146
1216a09454
13b867152
147684120
154e124d4
hex35a5740

56252224 has 56 divisors (see below), whose sum is σ = 128300480. Its totient is φ = 23970816.

The previous prime is 56252221. The next prime is 56252263. The reversal of 56252224 is 42225265.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 56252192 and 56252201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56252221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137332 + ... + 137740.

It is an arithmetic number, because the mean of its divisors is an integer number (2291080).

Almost surely, 256252224 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 56252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64150240).

56252224 is an abundant number, since it is smaller than the sum of its proper divisors (72048256).

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

56252224 is a wasteful number, since it uses less digits than its factorization.

56252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 56252224 is about 7500.1482652012. The cubic root of 56252224 is about 383.1597658256.

Adding to 56252224 its reverse (42225265), we get a palindrome (98477489).

The spelling of 56252224 in words is "fifty-six million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 307 409 448 614 818 1228 1636 2149 2456 2863 3272 4298 4912 5726 6544 8596 9824 11452 13088 17192 19648 22904 26176 34384 45808 68768 91616 125563 137536 183232 251126 502252 878941 1004504 1757882 2009008 3515764 4018016 7031528 8036032 14063056 28126112 56252224