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56919135 = 3573132337
BaseRepresentation
bin1101100100100…
…0010001011111
310222002210101010
43121020101133
5104032403020
65351550303
71260543000
oct331102137
9128083333
1056919135
112a147209
121708b393
13ba3b880
1477b91a7
154ee4de0
hex364845f

56919135 has 128 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 22353408.

The previous prime is 56919133. The next prime is 56919157. The reversal of 56919135 is 53191965.

56919135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56919135 - 21 = 56919133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 56919093 and 56919102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56919133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1538337 + ... + 1538373.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 256919135 is an apocalyptic number.

56919135 is an abundant number, since it is smaller than the sum of its proper divisors (65653665).

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

56919135 is a wasteful number, since it uses less digits than its factorization.

56919135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its digits is 36450, while the sum is 39.

The square root of 56919135 is about 7544.4771190587. The cubic root of 56919135 is about 384.6680334030.

The spelling of 56919135 in words is "fifty-six million, nine hundred nineteen thousand, one hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 23 35 37 39 49 65 69 91 105 111 115 147 161 185 195 245 259 273 299 343 345 455 481 483 555 637 735 777 805 851 897 1029 1127 1295 1365 1443 1495 1715 1813 1911 2093 2405 2415 2553 3185 3367 3381 3885 4255 4459 4485 5145 5439 5635 5957 6279 7215 7889 9065 9555 10101 10465 11063 12691 12765 13377 14651 16835 16905 17871 22295 23569 23667 27195 29785 31395 33189 38073 39445 41699 43953 50505 55315 63455 66885 70707 73255 77441 89355 102557 117845 118335 125097 164983 165945 190365 208495 219765 232323 291893 307671 353535 387205 494949 512785 542087 625485 824915 875679 1161615 1459465 1538355 1626261 2474745 2710435 3794609 4378395 8131305 11383827 18973045 56919135