Search a number
-
+
252655456 = 2531475419
BaseRepresentation
bin11110000111100…
…11011101100000
3122121102020010111
433003303131200
51004134433311
641023141104
76155351554
oct1703633540
9577366114
10252655456
1111a687869
1270744794
1340462291
14257ab864
15172aad21
hexf0f3760

252655456 has 48 divisors (see below), whose sum is σ = 524482560. Its totient is φ = 119629440.

The previous prime is 252655433. The next prime is 252655463. The reversal of 252655456 is 654556252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43915 + ... + 49333.

It is an arithmetic number, because the mean of its divisors is an integer number (10926720).

Almost surely, 2252655456 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 252655456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262241280).

252655456 is an abundant number, since it is smaller than the sum of its proper divisors (271827104).

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

252655456 is a wasteful number, since it uses less digits than its factorization.

252655456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5499 counting only the distinct ones).

The product of its digits is 360000, while the sum is 40.

The square root of 252655456 is about 15895.1393828428. The cubic root of 252655456 is about 632.1831173700.

The spelling of 252655456 in words is "two hundred fifty-two million, six hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 47 62 94 124 188 248 376 496 752 992 1457 1504 2914 5419 5828 10838 11656 21676 23312 43352 46624 86704 167989 173408 254693 335978 509386 671956 1018772 1343912 2037544 2687824 4075088 5375648 7895483 8150176 15790966 31581932 63163864 126327728 252655456