Search a number
-
+
56354048 = 281723563
BaseRepresentation
bin1101011011111…
…0010100000000
310221001002012222
43112332110000
5103411312143
65331510212
71253000342
oct326762400
9127032188
1056354048
11298a06a3
1216a58368
13b8a15ba
1476ad292
154e32768
hex35be500

56354048 has 72 divisors (see below), whose sum is σ = 124504128. Its totient is φ = 25321472.

The previous prime is 56354003. The next prime is 56354059. The reversal of 56354048 is 84045365.

It is a junction number, because it is equal to n+sod(n) for n = 56353999 and 56354017.

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, 99815 + ... + 100377.

It is an arithmetic number, because the mean of its divisors is an integer number (1729224).

Almost surely, 256354048 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 56354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62252064).

56354048 is an abundant number, since it is smaller than the sum of its proper divisors (68150080).

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

56354048 is a wasteful number, since it uses less digits than its factorization.

56354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 56354048 is about 7506.9333285970. The cubic root of 56354048 is about 383.3908165004.

The spelling of 56354048 in words is "fifty-six million, three hundred fifty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 544 563 736 782 1088 1126 1472 1564 2176 2252 2944 3128 4352 4504 5888 6256 9008 9571 12512 12949 18016 19142 25024 25898 36032 38284 50048 51796 72064 76568 100096 103592 144128 153136 207184 220133 306272 414368 440266 612544 828736 880532 1225088 1657472 1761064 2450176 3314944 3522128 7044256 14088512 28177024 56354048