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56247345 = 3357211773
BaseRepresentation
bin1101011010010…
…0010000110001
310220211122212000
43112210100301
5103344403340
65325324213
71252044300
oct326442061
9126748760
1056247345
1129828510
1216a06669
13b864b6b
147682437
154e10d30
hex35a4431

56247345 has 96 divisors (see below), whose sum is σ = 127059840. Its totient is φ = 23345280.

The previous prime is 56247337. The next prime is 56247383. The reversal of 56247345 is 54374265.

It is not a de Polignac number, because 56247345 - 23 = 56247337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72379 + ... + 73151.

It is an arithmetic number, because the mean of its divisors is an integer number (1323540).

Almost surely, 256247345 is an apocalyptic number.

56247345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56247345 is an abundant number, since it is smaller than the sum of its proper divisors (70812495).

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

56247345 is a wasteful number, since it uses less digits than its factorization.

56247345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 56247345 is about 7499.8229979114. The cubic root of 56247345 is about 383.1486878011.

Subtracting from 56247345 its reverse (54374265), we obtain a triangular number (1873080 = T1935).

The spelling of 56247345 in words is "fifty-six million, two hundred forty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 441 495 539 693 735 773 945 1155 1323 1485 1617 2079 2205 2319 2695 3465 3865 4851 5411 6615 6957 8085 8503 10395 11595 14553 16233 20871 24255 25509 27055 34785 37877 42515 48699 59521 72765 76527 81165 104355 113631 127545 146097 178563 189385 229581 243495 297605 340893 382635 416647 535689 568155 730485 892815 1022679 1147905 1249941 1607067 1704465 2083235 2678445 3749823 5113395 6249705 8035335 11249469 18749115 56247345