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385333585 = 57131929253
BaseRepresentation
bin10110111101111…
…011100101010001
3222212001222022021
4112331323211101
51242121133320
6102123011441
712356165350
oct2675734521
9885058267
10385333585
1118856890a
12a9069b81
1361aa7a50
1439267997
1523c67daa
hex16f7b951

385333585 has 96 divisors (see below), whose sum is σ = 632136960. Its totient is φ = 218889216.

The previous prime is 385333579. The next prime is 385333591. The reversal of 385333585 is 585333583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (385333579) and next prime (385333591).

It is not a de Polignac number, because 385333585 - 223 = 376944977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7270419 + ... + 7270471.

It is an arithmetic number, because the mean of its divisors is an integer number (6584760).

Almost surely, 2385333585 is an apocalyptic number.

385333585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

385333585 is a deficient number, since it is larger than the sum of its proper divisors (246803375).

385333585 is a wasteful number, since it uses less digits than its factorization.

385333585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its digits is 648000, while the sum is 43.

The square root of 385333585 is about 19629.9155627323. The cubic root of 385333585 is about 727.6886832817.

The spelling of 385333585 in words is "three hundred eighty-five million, three hundred thirty-three thousand, five hundred eighty-five".

Divisors: 1 5 7 13 19 29 35 53 65 91 95 133 145 203 247 265 371 377 455 551 665 689 841 1007 1015 1235 1537 1729 1855 1885 2639 2755 3445 3857 4205 4823 5035 5887 7049 7163 7685 8645 10759 10933 13091 13195 15979 19285 19981 24115 29203 29435 35245 35815 44573 50141 53795 54665 65455 76531 79895 91637 99905 111853 139867 146015 204421 207727 222865 250705 312011 379639 382655 458185 559265 579449 699335 846887 1022105 1038635 1454089 1560055 1898195 2657473 2897245 4056143 4234435 5928209 7270445 11009531 13287365 20280715 29641045 55047655 77066717 385333585