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5455296 = 263371141
BaseRepresentation
bin10100110011110111000000
3101021011021000
4110303313000
52344032141
6312532000
764240440
oct24636700
911234230
105455296
113096710
1219b1000
1311900b2
14a20120
1572b5b6
hex533dc0

5455296 has 224 divisors, whose sum is σ = 20482560. Its totient is φ = 1382400.

The previous prime is 5455267. The next prime is 5455309. The reversal of 5455296 is 6925545.

5455296 = T33 + T34 + ... + T319.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 54 + 4 + 54 + 58 + 29 + 97 + 67 .

Its product of digits (54000) is a multiple of the sum of its prime factors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5455296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133036 + ... + 133076.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 25455296 is an apocalyptic number.

5455296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280).

5455296 is an abundant number, since it is smaller than the sum of its proper divisors (15027264).

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

5455296 is a wasteful number, since it uses less digits than its factorization.

5455296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 5455296 is about 2335.6575091396. The cubic root of 5455296 is about 176.0378706385.

It can be divided in two parts, 54 and 55296, that multiplied together give a 6-th power (2985984 = 126).

The spelling of 5455296 in words is "five million, four hundred fifty-five thousand, two hundred ninety-six".