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56335230 = 2335741727
BaseRepresentation
bin1101011011100…
…1101101111110
310221000010102000
43112321231332
5103410211410
65331243130
71252561440
oct326715576
9127003360
1056335230
1129888546
1216a494a6
13b895b73
1476a6490
154e2bdc0
hex35b9b7e

56335230 has 128 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 12545280.

The previous prime is 56335219. The next prime is 56335241. The reversal of 56335230 is 3253365.

56335230 is a `hidden beast` number, since 5 + 633 + 5 + 23 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56335219) and next prime (56335241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56335194 and 56335203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77127 + ... + 77853.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 256335230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56335230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

56335230 is an abundant number, since it is smaller than the sum of its proper divisors (119782530).

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

56335230 is a wasteful number, since it uses less digits than its factorization.

56335230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 56335230 is about 7505.6798492875. The cubic root of 56335230 is about 383.3481372145.

Adding to 56335230 its reverse (3253365), we get a palindrome (59588595).

It can be divided in two parts, 56335 and 230, that added together give a palindrome (56565).

The spelling of 56335230 in words is "fifty-six million, three hundred thirty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 287 315 369 378 410 574 615 630 727 738 861 945 1107 1230 1435 1454 1722 1845 1890 2181 2214 2583 2870 3635 3690 4305 4362 5089 5166 5535 6543 7270 7749 8610 10178 10905 11070 12915 13086 15267 15498 19629 21810 25445 25830 29807 30534 32715 38745 39258 45801 50890 59614 65430 76335 77490 89421 91602 98145 137403 149035 152670 178842 196290 208649 229005 268263 274806 298070 417298 447105 458010 536526 625947 687015 804789 894210 1043245 1251894 1341315 1374030 1609578 1877841 2086490 2682630 3129735 3755682 4023945 5633523 6259470 8047890 9389205 11267046 18778410 28167615 56335230