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56054544 = 24371341313
BaseRepresentation
bin1101010111010…
…1001100010000
310220110212101020
43111311030100
5103322221134
65321235440
71250312220
oct325651420
9126425336
1056054544
1129706677
1216932b80
13b7c8190
147632080
154dc3b49
hex3575310

56054544 has 160 divisors (see below), whose sum is σ = 183154944. Its totient is φ = 14376960.

The previous prime is 56054539. The next prime is 56054561. The reversal of 56054544 is 44545065.

It is a super-2 number, since 2×560545442 = 6284223806095872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178932 + ... + 179244.

Almost surely, 256054544 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 56054544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91577472).

56054544 is an abundant number, since it is smaller than the sum of its proper divisors (127100400).

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

56054544 is a wasteful number, since it uses less digits than its factorization.

56054544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 56054544 is about 7486.9582608694. The cubic root of 56054544 is about 382.7104092466.

The spelling of 56054544 in words is "fifty-six million, fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 246 273 287 312 313 328 336 364 492 533 546 574 624 626 656 728 861 939 984 1066 1092 1148 1252 1456 1599 1722 1878 1968 2132 2184 2191 2296 2504 3198 3444 3731 3756 4069 4264 4368 4382 4592 5008 6396 6573 6888 7462 7512 8138 8528 8764 11193 12207 12792 12833 13146 13776 14924 15024 16276 17528 22386 24414 25584 25666 26292 28483 29848 32552 35056 38499 44772 48828 51332 52584 56966 59696 65104 76998 85449 89544 89831 97656 102664 105168 113932 153996 166829 170898 179088 179662 195312 205328 227864 269493 307992 333658 341796 359324 455728 500487 538986 615984 667316 683592 718648 1000974 1077972 1167803 1334632 1367184 1437296 2001948 2155944 2335606 2669264 3503409 4003896 4311888 4671212 7006818 8007792 9342424 14013636 18684848 28027272 56054544