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387172485 = 32573121279
BaseRepresentation
bin10111000100111…
…100100010000101
3222222112101210200
4113010330202011
51243104004420
6102230241113
712410624520
oct2704744205
9888471720
10387172485
11189604467
12a97b6199
136229ca5b
14395c5bb7
1523eccb90
hex1713c885

387172485 has 72 divisors (see below), whose sum is σ = 793128960. Its totient is φ = 171149760.

The previous prime is 387172483. The next prime is 387172523. The reversal of 387172485 is 584271783.

387172485 is a `hidden beast` number, since 38 + 71 + 72 + 485 = 666.

It is not a de Polignac number, because 387172485 - 21 = 387172483 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 387172485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387172483) 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 71 ways as a sum of consecutive naturals, for example, 302076 + ... + 303354.

It is an arithmetic number, because the mean of its divisors is an integer number (11015680).

Almost surely, 2387172485 is an apocalyptic number.

387172485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

387172485 is an abundant number, since it is smaller than the sum of its proper divisors (405956475).

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

387172485 is a wasteful number, since it uses less digits than its factorization.

387172485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1325 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 387172485 is about 19676.6990371861. The cubic root of 387172485 is about 728.8444123694.

The spelling of 387172485 in words is "three hundred eighty-seven million, one hundred seventy-two thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 961 1085 1279 1395 1953 2883 3255 3837 4805 6395 6727 8649 8953 9765 11511 14415 19185 20181 26859 33635 39649 43245 44765 57555 60543 80577 100905 118947 134295 198245 277543 302715 356841 402885 594735 832629 1229119 1387715 1784205 2497887 3687357 4163145 6145595 8603833 11062071 12489435 18436785 25811499 43019165 55310355 77434497 129057495 387172485