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554031400 = 235213409521
BaseRepresentation
bin100001000001011…
…101100100101000
31102121111201012111
4201001131210220
52113313001100
6130550452104
716505121616
oct4101354450
91377451174
10554031400
11264810a9a
12135664034
138aa22440
145381c6b6
153398c6ba
hex2105d928

554031400 has 96 divisors (see below), whose sum is σ = 1393270200. Its totient is φ = 203673600.

The previous prime is 554031371. The next prime is 554031403. The reversal of 554031400 is 4130455.

It can be written as a sum of positive squares in 12 ways, for example, as 19589476 + 534441924 = 4426^2 + 23118^2 .

It is not an unprimeable number, because it can be changed into a prime (554031403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1063140 + ... + 1063660.

Almost surely, 2554031400 is an apocalyptic number.

554031400 is a gapful number since it is divisible by the number (50) 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 554031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696635100).

554031400 is an abundant number, since it is smaller than the sum of its proper divisors (839238800).

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

554031400 is a wasteful number, since it uses less digits than its factorization.

554031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 554031400 is about 23537.8716115115. The cubic root of 554031400 is about 821.3182247307.

Adding to 554031400 its reverse (4130455), we get a palindrome (558161855).

The spelling of 554031400 in words is "five hundred fifty-four million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 409 520 521 650 818 1042 1300 1636 2045 2084 2600 2605 3272 4090 4168 5210 5317 6773 8180 10225 10420 10634 13025 13546 16360 20450 20840 21268 26050 26585 27092 33865 40900 42536 52100 53170 54184 67730 81800 104200 106340 132925 135460 169325 212680 213089 265850 270920 338650 426178 531700 677300 852356 1063400 1065445 1354600 1704712 2130890 2770157 4261780 5327225 5540314 8523560 10654450 11080628 13850785 21308900 22161256 27701570 42617800 55403140 69253925 110806280 138507850 277015700 554031400