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1827282740 = 2251737145253
BaseRepresentation
bin110110011101010…
…0001111100110100
311201100100120200112
41230322201330310
512220241021430
6501153002152
763165434633
oct15472417464
94640316615
101827282740
118584a9628
1242bb53358
132317532ba
1413497951a
15aa647195
hex6cea1f34

1827282740 has 48 divisors (see below), whose sum is σ = 4172856912. Its totient is φ = 669321216.

The previous prime is 1827282733. The next prime is 1827282803. The reversal of 1827282740 is 472827281.

It can be written as a sum of positive squares in 8 ways, for example, as 80209936 + 1747072804 = 8956^2 + 41798^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60047 + ... + 85206.

It is an arithmetic number, because the mean of its divisors is an integer number (86934519).

Almost surely, 21827282740 is an apocalyptic number.

1827282740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1827282740 is an abundant number, since it is smaller than the sum of its proper divisors (2345574172).

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

1827282740 is a wasteful number, since it uses less digits than its factorization.

1827282740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145316 (or 145314 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 41.

The square root of 1827282740 is about 42746.7278279870. The cubic root of 1827282740 is about 1222.5555006216. Note that the first 4 decimals are identical.

The spelling of 1827282740 in words is "one billion, eight hundred twenty-seven million, two hundred eighty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 145253 290506 581012 726265 1452530 2469301 2905060 4938602 5374361 9877204 10748722 12346505 21497444 24693010 26871805 49386020 53743610 91364137 107487220 182728274 365456548 456820685 913641370 1827282740