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2557008 = 24341973
BaseRepresentation
bin1001110000010001010000
311210220120000
421300101100
51123311013
6130450000
730506556
oct11602120
94726500
102557008
111497133
12a33900
136b6b2c
144a7bd6
15357973
hex270450

2557008 has 50 divisors (see below), whose sum is σ = 7404474. Its totient is φ = 851904.

The previous prime is 2557007. The next prime is 2557013. The reversal of 2557008 is 8007552.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 685584 = 1368^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 310 + ... + 2282.

22557008 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 2557008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702237).

2557008 is an abundant number, since it is smaller than the sum of its proper divisors (4847466).

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

2557008 is a wasteful number, since it uses less digits than its factorization.

2557008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2557008 is about 1599.0647266449. The cubic root of 2557008 is about 136.7447607078.

The spelling of 2557008 in words is "two million, five hundred fifty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1973 3946 5919 7892 11838 15784 17757 23676 31568 35514 47352 53271 71028 94704 106542 142056 159813 213084 284112 319626 426168 639252 852336 1278504 2557008