Search a number
-
+
56148096 = 273732003
BaseRepresentation
bin1101011000110…
…0000010000000
310220122121201010
43112030002000
5103333214341
65323240520
71251152034
oct326140200
9126577633
1056148096
112976a994
1216979140
13b82b934
1476581c4
154de1716
hex358c080

56148096 has 64 divisors (see below), whose sum is σ = 151261920. Its totient is φ = 18450432.

The previous prime is 56148091. The next prime is 56148109. The reversal of 56148096 is 69084165.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56148091) 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, 27031 + ... + 29033.

Almost surely, 256148096 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 56148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75630960).

56148096 is an abundant number, since it is smaller than the sum of its proper divisors (95113824).

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

56148096 is a wasteful number, since it uses less digits than its factorization.

56148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 56148096 is about 7493.2033203430. The cubic root of 56148096 is about 382.9231985655.

The spelling of 56148096 in words is "fifty-six million, one hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 876 1168 1752 2003 2336 3504 4006 4672 6009 7008 8012 9344 12018 14016 16024 24036 28032 32048 48072 64096 96144 128192 146219 192288 256384 292438 384576 438657 584876 769152 877314 1169752 1754628 2339504 3509256 4679008 7018512 9358016 14037024 18716032 28074048 56148096