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38908485 = 33571119197
BaseRepresentation
bin1001010001101…
…1001001000101
32201012202102000
42110123021011
534430032420
63505535513
7651500550
oct224331105
981182360
1038908485
111aa65580
1211044599
1380a3a95
14524b697
153638690
hex251b245

38908485 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 15240960.

The previous prime is 38908451. The next prime is 38908487. The reversal of 38908485 is 58480983.

It is not a de Polignac number, because 38908485 - 28 = 38908229 is a prime.

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 38908485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38908487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197407 + ... + 197603.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 238908485 is an apocalyptic number.

38908485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38908485 is an abundant number, since it is smaller than the sum of its proper divisors (52329915).

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

38908485 is a wasteful number, since it uses less digits than its factorization.

38908485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 38908485 is about 6237.6666310408. Note that the first 4 decimals coincide. The cubic root of 38908485 is about 338.8556829519.

It can be divided in two parts, 38908 and 485, that added together give a palindrome (39393).

The spelling of 38908485 in words is "thirty-eight million, nine hundred eight thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 19 21 27 33 35 45 55 57 63 77 95 99 105 133 135 165 171 189 197 209 231 285 297 315 385 399 495 513 591 627 665 693 855 945 985 1045 1155 1197 1379 1463 1485 1773 1881 1995 2079 2167 2565 2955 3135 3465 3591 3743 4137 4389 5319 5643 5985 6501 6895 7315 8865 9405 10395 10835 11229 12411 13167 15169 17955 18715 19503 20685 21945 26201 26595 28215 32505 33687 37233 39501 41173 45507 56145 58509 62055 65835 75845 78603 97515 101061 123519 131005 136521 168435 186165 197505 205865 227535 235809 288211 292545 370557 393015 409563 505305 617595 682605 707427 864633 1111671 1179045 1441055 1852785 2047815 2593899 3537135 4323165 5558355 7781697 12969495 38908485