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554281940 = 2251710116141
BaseRepresentation
bin100001000010011…
…010101111010100
31102121222102212202
4201002122233110
52113344010230
6131000104032
716510214222
oct4102325724
91377872782
10554281940
11264972253
12135765018
138aaac4a4
1453885b12
15339dba45
hex2109abd4

554281940 has 48 divisors (see below), whose sum is σ = 1244741904. Its totient is φ = 206592000.

The previous prime is 554281939. The next prime is 554281961. The reversal of 554281940 is 49182455.

It can be written as a sum of positive squares in 8 ways, for example, as 56010256 + 498271684 = 7484^2 + 22322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 554281894 and 554281903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26270 + ... + 42410.

It is an arithmetic number, because the mean of its divisors is an integer number (25932123).

Almost surely, 2554281940 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 554281940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622370952).

554281940 is an abundant number, since it is smaller than the sum of its proper divisors (690459964).

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

554281940 is a wasteful number, since it uses less digits than its factorization.

554281940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16268 (or 16266 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 554281940 is about 23543.1930714591. The cubic root of 554281940 is about 821.4420095668.

The spelling of 554281940 in words is "five hundred fifty-four million, two hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 16141 17170 32282 34340 64564 80705 161410 274397 322820 548794 1097588 1371985 1630241 2743970 3260482 5487940 6520964 8151205 16302410 27714097 32604820 55428194 110856388 138570485 277140970 554281940