Search a number
-
+
385135872 = 2831145589
BaseRepresentation
bin10110111101001…
…011010100000000
3222211200221002120
4112331023110000
51242043321442
6102114444240
712354413052
oct2675132400
9884627076
10385135872
11188443310
12a8b93680
1361a38a64
14392158d2
1523c294ec
hex16f4b500

385135872 has 72 divisors (see below), whose sum is σ = 1118231520. Its totient is φ = 116705280.

The previous prime is 385135859. The next prime is 385135873. The reversal of 385135872 is 278531583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385135873) 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 7 ways as a sum of consecutive naturals, for example, 14347 + ... + 31242.

Almost surely, 2385135872 is an apocalyptic number.

385135872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

385135872 is an abundant number, since it is smaller than the sum of its proper divisors (733095648).

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

385135872 is a wasteful number, since it uses less digits than its factorization.

385135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45619 (or 45605 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 385135872 is about 19624.8789040850. The cubic root of 385135872 is about 727.5642040147.

The spelling of 385135872 in words is "three hundred eighty-five million, one hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 45589 91178 136767 182356 273534 364712 501479 547068 729424 1002958 1094136 1458848 1504437 2005916 2188272 2917696 3008874 4011832 4376544 5835392 6017748 8023664 8753088 11670784 12035496 16047328 17506176 24070992 32094656 35012352 48141984 64189312 96283968 128378624 192567936 385135872