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553142500 = 2254972281
BaseRepresentation
bin100000111110000…
…100100011100100
31102112211112212021
4200332010203210
52113101030000
6130515432524
716464430231
oct4076044344
91375745767
10553142500
11264264169
121352b5744
138a7a0971
145366a788
153386411a
hex20f848e4

553142500 has 60 divisors (see below), whose sum is σ = 1222618012. Its totient is φ = 218880000.

The previous prime is 553142453. The next prime is 553142507. The reversal of 553142500 is 5241355.

It can be written as a sum of positive squares in 10 ways, for example, as 413146276 + 139996224 = 20326^2 + 11832^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (553142507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 241360 + ... + 243640.

Almost surely, 2553142500 is an apocalyptic number.

553142500 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 553142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611309006).

553142500 is an abundant number, since it is smaller than the sum of its proper divisors (669475512).

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

553142500 is a wasteful number, since it uses less digits than its factorization.

553142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 553142500 is about 23518.9816956432. The cubic root of 553142500 is about 820.8787426816.

Adding to 553142500 its reverse (5241355), we get a palindrome (558383855).

The spelling of 553142500 in words is "five hundred fifty-three million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 485 500 625 970 1250 1940 2281 2425 2500 4562 4850 9124 9700 11405 12125 22810 24250 45620 48500 57025 60625 114050 121250 221257 228100 242500 285125 442514 570250 885028 1106285 1140500 1425625 2212570 2851250 4425140 5531425 5702500 11062850 22125700 27657125 55314250 110628500 138285625 276571250 553142500