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58430295 = 3357211273
BaseRepresentation
bin1101111011100…
…1001101010111
311001221120022000
43132321031113
5104424232140
65444210343
71306435500
oct336711527
9131846260
1058430295
112aa89600
12176999b3
13c14a651
147a8dba7
1551e2a30
hex37b9357

58430295 has 144 divisors (see below), whose sum is σ = 134638560. Its totient is φ = 23950080.

The previous prime is 58430293. The next prime is 58430299. The reversal of 58430295 is 59203485.

It is not a de Polignac number, because 58430295 - 21 = 58430293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58430291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 800379 + ... + 800451.

It is an arithmetic number, because the mean of its divisors is an integer number (934990).

Almost surely, 258430295 is an apocalyptic number.

58430295 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

58430295 is an abundant number, since it is smaller than the sum of its proper divisors (76208265).

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

58430295 is a wasteful number, since it uses less digits than its factorization.

58430295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 58430295 is about 7643.9711537917. The cubic root of 58430295 is about 388.0425587461.

The spelling of 58430295 in words is "fifty-eight million, four hundred thirty thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 73 77 99 105 121 135 147 165 189 219 231 245 297 315 363 365 385 441 495 511 539 605 657 693 735 803 847 945 1089 1095 1155 1323 1485 1533 1617 1815 1971 2079 2205 2409 2541 2555 2695 3267 3285 3465 3577 4015 4235 4599 4851 5445 5621 5929 6615 7227 7623 7665 8085 8833 9855 10395 10731 12045 12705 13797 14553 16335 16863 17787 17885 21681 22869 22995 24255 26499 28105 29645 32193 36135 38115 39347 44165 50589 53361 53655 61831 68985 72765 79497 84315 88935 96579 108405 114345 118041 132495 151767 160083 160965 185493 196735 238491 252945 266805 309155 354123 397485 432817 482895 556479 590205 758835 800415 927465 1062369 1192455 1298451 1669437 1770615 2164085 2782395 3895353 5311845 6492255 8347185 11686059 19476765 58430295