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553142304 = 25331131337
BaseRepresentation
bin100000111110000…
…100100000100000
31102112211112121000
4200332010200200
52113101023204
6130515432000
716464426531
oct4076044040
91375745530
10553142304
11264264000
121352b5600
138a7a0850
145366a688
1533864039
hex20f84820

553142304 has 384 divisors, whose sum is σ = 1962696960. Its totient is φ = 150543360.

The previous prime is 553142297. The next prime is 553142309. The reversal of 553142304 is 403241355.

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 (553142309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14949774 + ... + 14949810.

It is an arithmetic number, because the mean of its divisors is an integer number (5111190).

Almost surely, 2553142304 is an apocalyptic number.

553142304 is a gapful number since it is divisible by the number (54) 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 553142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981348480).

553142304 is an abundant number, since it is smaller than the sum of its proper divisors (1409554656).

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

553142304 is a wasteful number, since it uses less digits than its factorization.

553142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 553142304 is about 23518.9775287958. The cubic root of 553142304 is about 820.8786457251.

Adding to 553142304 its reverse (403241355), we get a palindrome (956383659).

The spelling of 553142304 in words is "five hundred fifty-three million, one hundred forty-two thousand, three hundred four".