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56552320 = 2751129277
BaseRepresentation
bin1101011110111…
…0101110000000
310221102011012101
43113232232000
5103434133240
65340040144
71254454366
oct327565600
9127364171
1056552320
1129a16660
1216b33054
13b940916
147721636
154e7139a
hex35eeb80

56552320 has 128 divisors (see below), whose sum is σ = 153122400. Its totient is φ = 19783680.

The previous prime is 56552269. The next prime is 56552323. The reversal of 56552320 is 2325565.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56552323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204022 + ... + 204298.

Almost surely, 256552320 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 56552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76561200).

56552320 is an abundant number, since it is smaller than the sum of its proper divisors (96570080).

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

56552320 is a wasteful number, since it uses less digits than its factorization.

56552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 56552320 is about 7520.1276584909. The cubic root of 56552320 is about 383.8399217033.

Adding to 56552320 its reverse (2325565), we get a palindrome (58877885).

The spelling of 56552320 in words is "fifty-six million, five hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 277 290 319 320 352 440 464 554 580 638 640 704 880 928 1108 1160 1276 1385 1408 1595 1760 1856 2216 2320 2552 2770 3047 3190 3520 3712 4432 4640 5104 5540 6094 6380 7040 8033 8864 9280 10208 11080 12188 12760 15235 16066 17728 18560 20416 22160 24376 25520 30470 32132 35456 40165 40832 44320 48752 51040 60940 64264 80330 88363 88640 97504 102080 121880 128528 160660 176726 177280 195008 204160 243760 257056 321320 353452 390016 441815 487520 514112 642640 706904 883630 975040 1028224 1285280 1413808 1767260 1950080 2570560 2827616 3534520 5141120 5655232 7069040 11310464 14138080 28276160 56552320