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385738452 = 2232115318379
BaseRepresentation
bin10110111111011…
…110011011010100
3222212211112200100
4112333132123110
51242222112302
6102135414100
712362502621
oct2677363324
9885745610
10385738452
11188815010
12a9224330
1361bba108
1439331348
1523ce7d1c
hex16fde6d4

385738452 has 72 divisors (see below), whose sum is σ = 1083831840. Its totient is φ = 114678720.

The previous prime is 385738429. The next prime is 385738453. The reversal of 385738452 is 254837583.

385738452 is a `hidden beast` number, since 38 + 573 + 8 + 45 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 385738398 and 385738407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385738453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11799 + ... + 30177.

It is an arithmetic number, because the mean of its divisors is an integer number (15053220).

Almost surely, 2385738452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385738452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541915920).

385738452 is an abundant number, since it is smaller than the sum of its proper divisors (698093388).

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

385738452 is a wasteful number, since it uses less digits than its factorization.

385738452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18453 (or 18448 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 385738452 is about 19640.2253551226. The cubic root of 385738452 is about 727.9434530204.

It can be divided in two parts, 385 and 738452, that added together give a palindrome (738837).

The spelling of 385738452 in words is "three hundred eighty-five million, seven hundred thirty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3498 5247 6996 10494 18379 20988 36758 55137 73516 110274 165411 202169 220548 330822 404338 606507 661644 808676 974087 1213014 1819521 1948174 2426028 2922261 3639042 3896348 5844522 7278084 8766783 10714957 11689044 17533566 21429914 32144871 35067132 42859828 64289742 96434613 128579484 192869226 385738452