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5268782900 = 2252411285069
BaseRepresentation
bin1001110100000101…
…10011111100110100
3111121012010220101102
410322002303330310
541242302023100
62230452145232
7244364626043
oct47202637464
914535126342
105268782900
1122640aa637
121030608218
1365c749724
1437da6a55a
1520c84acd5
hex13a0b3f34

5268782900 has 36 divisors (see below), whose sum is σ = 11712127980. Its totient is φ = 2056108800.

The previous prime is 5268782899. The next prime is 5268782903. The reversal of 5268782900 is 92878625.

It can be written as a sum of positive squares in 6 ways, for example, as 2723378596 + 2545404304 = 52186^2 + 50452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268782903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638435 + ... + 646634.

Almost surely, 25268782900 is an apocalyptic number.

5268782900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5268782900 is an abundant number, since it is smaller than the sum of its proper divisors (6443345080).

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

5268782900 is a wasteful number, since it uses less digits than its factorization.

5268782900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285124 (or 1285117 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 5268782900 is about 72586.3823316743. The cubic root of 5268782900 is about 1740.0835495179.

The spelling of 5268782900 in words is "five billion, two hundred sixty-eight million, seven hundred eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 1285069 2570138 5140276 6425345 12850690 25701380 32126725 52687829 64253450 105375658 128506900 210751316 263439145 526878290 1053756580 1317195725 2634391450 5268782900