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56075136 = 2731347239
BaseRepresentation
bin1101010111101…
…0001110000000
310220111220121220
43111322032000
5103323401021
65321515040
71250426235
oct325721600
9126456556
1056075136
1129720097
1216942a80
13b804670
14763978c
154dc9cc6
hex357a380

56075136 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 16816128.

The previous prime is 56075111. The next prime is 56075141. The reversal of 56075136 is 63157065.

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

It is a junction number, because it is equal to n+sod(n) for n = 56075097 and 56075106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234505 + ... + 234743.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 256075136 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 56075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

56075136 is an abundant number, since it is smaller than the sum of its proper divisors (108430464).

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

56075136 is a wasteful number, since it uses less digits than its factorization.

56075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 56075136 is about 7488.3333259144. Note that the first 4 decimals coincide. The cubic root of 56075136 is about 382.7572672255.

The spelling of 56075136 in words is "fifty-six million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 239 282 312 376 384 416 478 564 611 624 717 752 832 956 1128 1222 1248 1434 1504 1664 1833 1912 2256 2444 2496 2868 3008 3107 3666 3824 4512 4888 4992 5736 6016 6214 7332 7648 9024 9321 9776 11233 11472 12428 14664 15296 18048 18642 19552 22466 22944 24856 29328 30592 33699 37284 39104 44932 45888 49712 58656 67398 74568 78208 89864 91776 99424 117312 134796 146029 149136 179728 198848 234624 269592 292058 298272 359456 397696 438087 539184 584116 596544 718912 876174 1078368 1168232 1193088 1437824 1752348 2156736 2336464 3504696 4313472 4672928 7009392 9345856 14018784 18691712 28037568 56075136