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58742775 = 325271319151
BaseRepresentation
bin1110000000010…
…1011111110111
311002112102221100
43200011133313
5110014232100
65455021143
71312206510
oct340053767
9132472840
1058742775
1130182353
121780a7b3
13c229950
147b31a07
155255400
hex38057f7

58742775 has 144 divisors (see below), whose sum is σ = 137213440. Its totient is φ = 23328000.

The previous prime is 58742771. The next prime is 58742867. The reversal of 58742775 is 57724785.

It is not a de Polignac number, because 58742775 - 22 = 58742771 is a prime.

It is a super-2 number, since 2×587427752 = 6901427229401250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 58742775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58742771) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 388950 + ... + 389100.

Almost surely, 258742775 is an apocalyptic number.

58742775 is an abundant number, since it is smaller than the sum of its proper divisors (78470665).

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

58742775 is a wasteful number, since it uses less digits than its factorization.

58742775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 58742775 is about 7664.3835368541. The cubic root of 58742775 is about 388.7330682617.

It can be divided in two parts, 5874 and 2775, that added together give a square (8649 = 932).

The spelling of 58742775 in words is "fifty-eight million, seven hundred forty-two thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 19 21 25 35 39 45 57 63 65 75 91 95 105 117 133 151 171 175 195 225 247 273 285 315 325 399 453 455 475 525 585 665 741 755 819 855 975 1057 1197 1235 1359 1365 1425 1575 1729 1963 1995 2223 2265 2275 2869 2925 3171 3325 3705 3775 4095 4275 5187 5285 5889 5985 6175 6795 6825 8607 8645 9513 9815 9975 11115 11325 13741 14345 15561 15855 17667 18525 20083 20475 25821 25935 26425 29445 29925 33975 37297 41223 43035 43225 47565 49075 55575 60249 68705 71725 77805 79275 88335 100415 111891 123669 129105 129675 147225 180747 186485 206115 215175 237825 261079 301245 335673 343525 389025 441675 502075 559455 618345 645525 783237 903735 932425 1030575 1305395 1506225 1678365 2349711 2797275 3091725 3916185 4518675 6526975 8391825 11748555 19580925 58742775