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245256400 = 2452613141
BaseRepresentation
bin11101001111001…
…01000011010000
3122002111022112101
432213211003100
51000241201100
640200410144
76035434144
oct1647450320
9562438471
10245256400
11116493844
126a176954
133ba7153c
1424803224
15167e886a
hexe9e50d0

245256400 has 30 divisors (see below), whose sum is σ = 589229462. Its totient is φ = 98102400.

The previous prime is 245256379. The next prime is 245256437. The reversal of 245256400 is 4652542.

It can be written as a sum of positive squares in 3 ways, for example, as 3640464 + 241615936 = 1908^2 + 15544^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 306171 + ... + 306970.

Almost surely, 2245256400 is an apocalyptic number.

245256400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245256400 is an abundant number, since it is smaller than the sum of its proper divisors (343973062).

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

245256400 is a wasteful number, since it uses less digits than its factorization.

245256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613159 (or 613148 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 245256400 is about 15660.6640983069. The cubic root of 245256400 is about 625.9506811952.

The spelling of 245256400 in words is "two hundred forty-five million, two hundred fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 613141 1226282 2452564 3065705 4905128 6131410 9810256 12262820 15328525 24525640 30657050 49051280 61314100 122628200 245256400