Search a number
-
+
388889800 = 235213373401
BaseRepresentation
bin10111001011011…
…111110011001000
31000002202122111221
4113023133303020
51244023433200
6102331131424
712431336335
oct2713376310
91002678457
10388889800
1118a577732
12aa2a3b74
1362751610
143991198c
152421b91a
hex172dfcc8

388889800 has 96 divisors (see below), whose sum is σ = 978765480. Its totient is φ = 142848000.

The previous prime is 388889783. The next prime is 388889821. The reversal of 388889800 is 8988883.

It can be written as a sum of positive squares in 12 ways, for example, as 64673764 + 324216036 = 8042^2 + 18006^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 969600 + ... + 970000.

Almost surely, 2388889800 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 388889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489382740).

388889800 is an abundant number, since it is smaller than the sum of its proper divisors (589875680).

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

388889800 is a wasteful number, since it uses less digits than its factorization.

388889800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The square root of 388889800 is about 19720.2890445348. The cubic root of 388889800 is about 729.9204266802.

The spelling of 388889800 in words is "three hundred eighty-eight million, eight hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 373 401 520 650 746 802 1300 1492 1604 1865 2005 2600 2984 3208 3730 4010 4849 5213 7460 8020 9325 9698 10025 10426 14920 16040 18650 19396 20050 20852 24245 26065 37300 38792 40100 41704 48490 52130 74600 80200 96980 104260 121225 130325 149573 193960 208520 242450 260650 299146 484900 521300 598292 747865 969800 1042600 1196584 1495730 1944449 2991460 3739325 3888898 5982920 7478650 7777796 9722245 14957300 15555592 19444490 29914600 38888980 48611225 77777960 97222450 194444900 388889800