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553012400 = 24528316657
BaseRepresentation
bin100000111101100…
…100110010110000
31102112120221101202
4200331210302300
52113032344100
6130512550332
716463346023
oct4075446260
91375527352
10553012400
11264185446
121352523a8
138a756695
14536351ba
153383a7d5
hex20f64cb0

553012400 has 60 divisors (see below), whose sum is σ = 1344700392. Its totient is φ = 218526720.

The previous prime is 553012399. The next prime is 553012409. The reversal of 553012400 is 4210355.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (553012409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24872 + ... + 41528.

Almost surely, 2553012400 is an apocalyptic number.

553012400 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 553012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672350196).

553012400 is an abundant number, since it is smaller than the sum of its proper divisors (791687992).

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

553012400 is a wasteful number, since it uses less digits than its factorization.

553012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16758 (or 16747 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 553012400 is about 23516.2156819502. The cubic root of 553012400 is about 820.8143803045.

Adding to 553012400 its reverse (4210355), we get a palindrome (557222755).

The spelling of 553012400 in words is "five hundred fifty-three million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1328 1660 2075 3320 4150 6640 8300 16600 16657 33200 33314 66628 83285 133256 166570 266512 333140 416425 666280 832850 1332560 1382531 1665700 2765062 3331400 5530124 6662800 6912655 11060248 13825310 22120496 27650620 34563275 55301240 69126550 110602480 138253100 276506200 553012400