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5564790 = 2325711273
BaseRepresentation
bin10101001110100101110110
3101110201110100
4111032211312
52411033130
6315134530
765204610
oct25164566
911421410
105564790
113160a00
121a44446
1311cab9a
14a4bdb0
1574dc60
hex54e976

5564790 has 144 divisors (see below), whose sum is σ = 18424224. Its totient is φ = 1140480.

The previous prime is 5564773. The next prime is 5564791. The reversal of 5564790 is 974655.

5564790 is a `hidden beast` number, since 5 + 5 + 647 + 9 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5564791) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 76194 + ... + 76266.

It is an arithmetic number, because the mean of its divisors is an integer number (127946).

Almost surely, 25564790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5564790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212112).

5564790 is an abundant number, since it is smaller than the sum of its proper divisors (12859434).

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

5564790 is a wasteful number, since it uses less digits than its factorization.

5564790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5564790 is about 2358.9807120873. The cubic root of 5564790 is about 177.2078378249.

The spelling of 5564790 in words is "five million, five hundred sixty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 73 77 90 99 105 110 121 126 146 154 165 198 210 219 231 242 315 330 363 365 385 438 462 495 511 605 630 657 693 726 730 770 803 847 990 1022 1089 1095 1155 1210 1314 1386 1533 1606 1694 1815 2178 2190 2310 2409 2541 2555 3066 3285 3465 3630 4015 4235 4599 4818 5082 5110 5445 5621 6570 6930 7227 7623 7665 8030 8470 8833 9198 10890 11242 12045 12705 14454 15246 15330 16863 17666 22995 24090 25410 26499 28105 33726 36135 38115 44165 45990 50589 52998 56210 61831 72270 76230 79497 84315 88330 101178 123662 132495 158994 168630 185493 252945 264990 309155 370986 397485 505890 556479 618310 794970 927465 1112958 1854930 2782395 5564790