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1561451444 = 227253831811
BaseRepresentation
bin101110100010001…
…1101101110110100
311000211010221200222
41131010131232310
511144212421234
6414535153512
753460055400
oct13504355664
94024127628
101561451444
11731442643
12376b15898
131bb659a87
1410b53c100
159213742e
hex5d11dbb4

1561451444 has 72 divisors (see below), whose sum is σ = 3279473568. Its totient is φ = 648298560.

The previous prime is 1561451417. The next prime is 1561451447. The reversal of 1561451444 is 4441541651.

It is a super-2 number, since 2×15614514442 = 4876261223939370272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561451447) 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 23 ways as a sum of consecutive naturals, for example, 861299 + ... + 863109.

It is an arithmetic number, because the mean of its divisors is an integer number (45548244).

Almost surely, 21561451444 is an apocalyptic number.

1561451444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561451444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639736784).

1561451444 is an abundant number, since it is smaller than the sum of its proper divisors (1718022124).

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

1561451444 is a wasteful number, since it uses less digits than its factorization.

1561451444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1956 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 1561451444 is about 39515.2052253307. The cubic root of 1561451444 is about 1160.1375788070.

The spelling of 1561451444 in words is "one billion, five hundred sixty-one million, four hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 53 83 98 106 166 196 212 332 371 581 742 1162 1484 1811 2324 2597 3622 4067 4399 5194 7244 8134 8798 10388 12677 16268 17596 25354 30793 50708 61586 88739 95983 123172 150313 177478 191966 215551 300626 354956 383932 431102 601252 671881 862204 1052191 1343762 2104382 2687524 4208764 4703167 7365337 7966589 9406334 14730674 15933178 18812668 29461348 31866356 55766123 111532246 223064492 390362861 780725722 1561451444