Search a number
-
+
56252232 = 2334471847
BaseRepresentation
bin1101011010010…
…1011101001000
310220211220120000
43112211131020
5103400032412
65325403000
71252064451
oct326453510
9126756500
1056252232
1129831153
1216a09460
13b86715a
147684128
154e124dc
hex35a5748

56252232 has 80 divisors (see below), whose sum is σ = 160997760. Its totient is φ = 18341856.

The previous prime is 56252221. The next prime is 56252263. The reversal of 56252232 is 23225265.

56252232 is a `hidden beast` number, since 5 + 625 + 2 + 2 + 32 = 666.

56252232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56252196 and 56252205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29533 + ... + 31379.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 256252232 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 56252232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80498880).

56252232 is an abundant number, since it is smaller than the sum of its proper divisors (104745528).

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

56252232 is a wasteful number, since it uses less digits than its factorization.

56252232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1899 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 56252232 is about 7500.1487985239. The cubic root of 56252232 is about 383.1597839895.

Adding to 56252232 its reverse (23225265), we get a palindrome (79477497).

The spelling of 56252232 in words is "fifty-six million, two hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1269 1692 1847 2538 3384 3694 3807 5076 5541 7388 7614 10152 11082 14776 15228 16623 22164 30456 33246 44328 49869 66492 86809 99738 132984 149607 173618 199476 260427 299214 347236 398952 520854 598428 694472 781281 1041708 1196856 1562562 2083416 2343843 3125124 4687686 6250248 7031529 9375372 14063058 18750744 28126116 56252232