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552142400 = 2652345089
BaseRepresentation
bin100000111010010…
…000011001000000
31102110221201222112
4200322100121000
52112322024100
6130442154452
716453063415
oct4072203100
91373851875
10552142400
11263740837
12134ab2a28
138a5106a4
145348a10c
1533717b35
hex20e90640

552142400 has 42 divisors (see below), whose sum is σ = 1358619330. Its totient is φ = 220856320.

The previous prime is 552142399. The next prime is 552142411. The reversal of 552142400 is 4241255.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7573504 + 544568896 = 2752^2 + 23336^2 .

It is a super-3 number, since 3×5521424003 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170945 + ... + 174144.

Almost surely, 2552142400 is an apocalyptic number.

552142400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

552142400 is an abundant number, since it is smaller than the sum of its proper divisors (806476930).

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

552142400 is a wasteful number, since it uses less digits than its factorization.

552142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345111 (or 345096 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 552142400 is about 23497.7105267726. The cubic root of 552142400 is about 820.3837188839.

Adding to 552142400 its reverse (4241255), we get a palindrome (556383655).

The spelling of 552142400 in words is "five hundred fifty-two million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 345089 690178 1380356 1725445 2760712 3450890 5521424 6901780 8627225 11042848 13803560 17254450 22085696 27607120 34508900 55214240 69017800 110428480 138035600 276071200 552142400