Search a number
-
+
385737072 = 24371767531
BaseRepresentation
bin10110111111011…
…110000101110000
3222212211110210020
4112333132011300
51242222041242
6102135403440
712362465610
oct2677360560
9885743706
10385737072
11188813a76
12a9223580
1361bb95b6
1439330a40
1523ce76ec
hex16fde170

385737072 has 80 divisors (see below), whose sum is σ = 1205851392. Its totient is φ = 103726080.

The previous prime is 385737059. The next prime is 385737073. The reversal of 385737072 is 270737583.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385737073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28054 + ... + 39477.

Almost surely, 2385737072 is an apocalyptic number.

It is an amenable number.

385737072 is an abundant number, since it is smaller than the sum of its proper divisors (820114320).

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

385737072 is a wasteful number, since it uses less digits than its factorization.

385737072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67566 (or 67560 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 385737072 is about 19640.1902231114. The cubic root of 385737072 is about 727.9425849338.

The spelling of 385737072 in words is "three hundred eighty-five million, seven hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 67531 135062 202593 270124 405186 472717 540248 810372 945434 1080496 1148027 1418151 1620744 1890868 2296054 2836302 3241488 3444081 3781736 4592108 5672604 6888162 7563472 8036189 9184216 11345208 13776324 16072378 18368432 22690416 24108567 27552648 32144756 48217134 55105296 64289512 96434268 128579024 192868536 385737072