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56242935 = 32572231109
BaseRepresentation
bin1101011010001…
…1001011110111
310220211102210200
43112203023313
5103344233220
65325251543
71252025400
oct326431367
9126742720
1056242935
1129825171
1216a03bb3
13b862b58
1476809a7
154e0e890
hex35a32f7

56242935 has 72 divisors (see below), whose sum is σ = 118441440. Its totient is φ = 24571008.

The previous prime is 56242933. The next prime is 56242943. The reversal of 56242935 is 53924265.

56242935 is a `hidden beast` number, since 5 + 624 + 29 + 3 + 5 = 666.

It is not a de Polignac number, because 56242935 - 21 = 56242933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56242935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56242931) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50161 + ... + 51269.

It is an arithmetic number, because the mean of its divisors is an integer number (1645020).

Almost surely, 256242935 is an apocalyptic number.

56242935 is an abundant number, since it is smaller than the sum of its proper divisors (62198505).

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

56242935 is a wasteful number, since it uses less digits than its factorization.

56242935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56242935 is about 7499.5289852097. The cubic root of 56242935 is about 383.1386741143.

The spelling of 56242935 in words is "fifty-six million, two hundred forty-two thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 735 805 1035 1109 1127 1449 2205 2415 3327 3381 5545 5635 7245 7763 9981 10143 16635 16905 23289 25507 38815 49905 50715 54341 69867 76521 116445 127535 163023 178549 229563 271705 349335 382605 489069 535647 815115 892745 1147815 1249843 1606941 2445345 2678235 3749529 6249215 8034705 11248587 18747645 56242935