Search a number
-
+
55256448 = 2731311069
BaseRepresentation
bin1101001011001…
…0010110000000
310211222022121010
43102302112000
5103121201243
65252200520
71240446342
oct322622600
9124868533
1055256448
1129210a95
1216609140
13b5a8b30
1474a5292
154cb7433
hex34b2580

55256448 has 64 divisors (see below), whose sum is σ = 158079600. Its totient is φ = 17000448.

The previous prime is 55256437. The next prime is 55256449. The reversal of 55256448 is 84465255.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55256449) 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, 543 + ... + 10526.

Almost surely, 255256448 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 55256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79039800).

55256448 is an abundant number, since it is smaller than the sum of its proper divisors (102823152).

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

55256448 is a wasteful number, since it uses less digits than its factorization.

55256448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11099 (or 11087 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 55256448 is about 7433.4681004226. The cubic root of 55256448 is about 380.8853961907.

The spelling of 55256448 in words is "fifty-five million, two hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 11069 22138 33207 44276 66414 88552 132828 143897 177104 265656 287794 354208 431691 531312 575588 708416 863382 1062624 1151176 1416832 1726764 2125248 2302352 3453528 4250496 4604704 6907056 9209408 13814112 18418816 27628224 55256448