Search a number
-
+
388942944 = 25313311653
BaseRepresentation
bin10111001011101…
…100110001100000
31000002212100102020
4113023230301200
51244032133234
6102332221440
712431650305
oct2713546140
91002770366
10388942944
1118a603655
12aa30a880
136276c870
14399270ac
152422c549
hex172ecc60

388942944 has 48 divisors (see below), whose sum is σ = 1099515312. Its totient is φ = 119674368.

The previous prime is 388942943. The next prime is 388942951. The reversal of 388942944 is 449249883.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3889429442 = 302553227374774272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388942943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154579 + ... + 157074.

It is an arithmetic number, because the mean of its divisors is an integer number (22906569).

Almost surely, 2388942944 is an apocalyptic number.

It is an amenable number.

388942944 is an abundant number, since it is smaller than the sum of its proper divisors (710572368).

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

388942944 is a wasteful number, since it uses less digits than its factorization.

388942944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311679 (or 311671 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 388942944 is about 19721.6364432569. The cubic root of 388942944 is about 729.9536744231.

The spelling of 388942944 in words is "three hundred eighty-eight million, nine hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 311653 623306 934959 1246612 1869918 2493224 3739836 4051489 4986448 7479672 8102978 9972896 12154467 14959344 16205956 24308934 29918688 32411912 48617868 64823824 97235736 129647648 194471472 388942944