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56509056 = 273383197
BaseRepresentation
bin1101011110010…
…0001010000000
310221022221212000
43113210022000
5103431242211
65335104000
71254214302
oct327441200
9127287760
1056509056
11299970aa
1216b12000
13b927016
14770d972
154e63656
hex35e4280

56509056 has 128 divisors (see below), whose sum is σ = 169646400. Its totient is φ = 18514944.

The previous prime is 56509051. The next prime is 56509147. The reversal of 56509056 is 65090565.

56509056 is a `hidden beast` number, since 565 + 0 + 90 + 5 + 6 = 666.

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

It is a super-2 number, since 2×565090562 = 6386546820022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 56509056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56509051) 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, 286750 + ... + 286946.

Almost surely, 256509056 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 56509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84823200).

56509056 is an abundant number, since it is smaller than the sum of its proper divisors (113137344).

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

56509056 is a wasteful number, since it uses less digits than its factorization.

56509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 56509056 is about 7517.2505612092. The cubic root of 56509056 is about 383.7420142142.

It can be divided in two parts, 5650 and 9056, that added together give a triangular number (14706 = T171).

The spelling of 56509056 in words is "fifty-six million, five hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 197 216 249 288 332 384 394 432 498 576 591 664 747 788 864 996 1152 1182 1328 1494 1576 1728 1773 1992 2241 2364 2656 2988 3152 3456 3546 3984 4482 4728 5312 5319 5976 6304 7092 7968 8964 9456 10624 10638 11952 12608 14184 15936 16351 17928 18912 21276 23904 25216 28368 31872 32702 35856 37824 42552 47808 49053 56736 65404 71712 75648 85104 95616 98106 113472 130808 143424 147159 170208 196212 226944 261616 286848 294318 340416 392424 441477 523232 588636 680832 784848 882954 1046464 1177272 1569696 1765908 2092928 2354544 3139392 3531816 4709088 6278784 7063632 9418176 14127264 18836352 28254528 56509056