[go: up one dir, main page]

Search a number
-
+
56543844 = 223722337113
BaseRepresentation
bin1101011110110…
…0101001100100
310221101201120110
43113230221210
5103433400334
65335533020
71254420600
oct327545144
9127351513
1056543844
1129a10255
1216b2a170
13b939ac6
14771c500
154e6dae9
hex35eca64

56543844 has 144 divisors (see below), whose sum is σ = 165932928. Its totient is φ = 14902272.

The previous prime is 56543827. The next prime is 56543849. The reversal of 56543844 is 44834565.

It is not an unprimeable number, because it can be changed into a prime (56543849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500332 + ... + 500444.

It is an arithmetic number, because the mean of its divisors is an integer number (1152312).

Almost surely, 256543844 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 56543844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82966464).

56543844 is an abundant number, since it is smaller than the sum of its proper divisors (109389084).

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

56543844 is a wasteful number, since it uses less digits than its factorization.

56543844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 56543844 is about 7519.5640831101. The cubic root of 56543844 is about 383.8207442423.

The spelling of 56543844 in words is "fifty-six million, five hundred forty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 37 42 46 49 69 74 84 92 98 111 113 138 147 148 161 196 222 226 259 276 294 322 339 444 452 483 518 588 644 678 777 791 851 966 1036 1127 1356 1554 1582 1702 1813 1932 2254 2373 2553 2599 3108 3164 3381 3404 3626 4181 4508 4746 5106 5198 5439 5537 5957 6762 7252 7797 8362 9492 10212 10396 10878 11074 11914 12543 13524 15594 16611 16724 17871 18193 21756 22148 23828 25086 29267 31188 33222 35742 36386 41699 50172 54579 58534 66444 71484 72772 83398 87801 96163 109158 117068 125097 127351 166796 175602 192326 204869 218316 250194 254702 288489 351204 382053 384652 409738 500388 509404 576978 614607 673141 764106 819476 1153956 1229214 1346282 1528212 2019423 2458428 2692564 4038846 4711987 8077692 9423974 14135961 18847948 28271922 56543844