Search a number
-
+
56398860 = 223257172633
BaseRepresentation
bin1101011100100…
…1010000001100
310221010100200200
43113021100030
5103414230420
65332453500
71253245110
oct327112014
9127110620
1056398860
1129921331
1216a7a290
13b8b8b0b
1476c1740
154e40b90
hex35c940c

56398860 has 144 divisors (see below), whose sum is σ = 207095616. Its totient is φ = 12128256.

The previous prime is 56398847. The next prime is 56398879. The reversal of 56398860 is 6889365.

56398860 = T229 + T230 + ... + T704.

56398860 is a `hidden beast` number, since 5 + 639 + 8 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 20104 + ... + 22736.

It is an arithmetic number, because the mean of its divisors is an integer number (1438164).

Almost surely, 256398860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56398860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103547808).

56398860 is an abundant number, since it is smaller than the sum of its proper divisors (150696756).

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

56398860 is a wasteful number, since it uses less digits than its factorization.

56398860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 56398860 is about 7509.9174429550. The cubic root of 56398860 is about 383.4924120260.

The spelling of 56398860 in words is "fifty-six million, three hundred ninety-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 2633 3060 3570 4284 5266 5355 7140 7899 10532 10710 13165 15798 18431 21420 23697 26330 31596 36862 39495 44761 47394 52660 55293 73724 78990 89522 92155 94788 110586 118485 134283 157980 165879 179044 184310 221172 223805 236970 268566 276465 313327 331758 368620 402849 447610 473940 537132 552930 626654 663516 671415 805698 829395 895220 939981 1105860 1253308 1342830 1566635 1611396 1658790 1879962 2014245 2685660 2819943 3133270 3317580 3759924 4028490 4699905 5639886 6266540 8056980 9399810 11279772 14099715 18799620 28199430 56398860