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1255144400 = 24524766763
BaseRepresentation
bin100101011001111…
…1111101111010000
310020110202221102122
41022303333233100
510032304110100
6324314033412
743050360056
oct11263775720
93213687378
101255144400
11594550624
122b0418868
131700612c3
14bc9a61d6
15752ce985
hex4acffbd0

1255144400 has 60 divisors (see below), whose sum is σ = 3079689792. Its totient is φ = 491368320.

The previous prime is 1255144349. The next prime is 1255144403. The reversal of 1255144400 is 44415521.

It is a self number, because there is not a number n which added to its sum of digits gives 1255144400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255144403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14582 + ... + 52181.

Almost surely, 21255144400 is an apocalyptic number.

1255144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1255144400 is an abundant number, since it is smaller than the sum of its proper divisors (1824545392).

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

1255144400 is a wasteful number, since it uses less digits than its factorization.

1255144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66828 (or 66817 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 1255144400 is about 35428.0171615630. The cubic root of 1255144400 is about 1078.6930922172.

Adding to 1255144400 its reverse (44415521), we get a palindrome (1299559921).

The spelling of 1255144400 in words is "one billion, two hundred fifty-five million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2350 3760 4700 9400 18800 66763 133526 267052 333815 534104 667630 1068208 1335260 1669075 2670520 3137861 3338150 5341040 6275722 6676300 12551444 13352600 15689305 25102888 26705200 31378610 50205776 62757220 78446525 125514440 156893050 251028880 313786100 627572200 1255144400