Search a number
-
+
388212672 = 2632239067
BaseRepresentation
bin10111001000111…
…010011111000000
31000001111020200010
4113020322133000
51243340301142
6102304424520
712422516241
oct2710723700
91001436603
10388212672
1118a154a21
12aa018140
1362575353
14397b6cc8
1524135e9c
hex1723a7c0

388212672 has 56 divisors (see below), whose sum is σ = 1031865856. Its totient is φ = 128809728.

The previous prime is 388212667. The next prime is 388212679. The reversal of 388212672 is 276212883.

It is a self number, because there is not a number n which added to its sum of digits gives 388212672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388212679) 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, 38283 + ... + 47349.

It is an arithmetic number, because the mean of its divisors is an integer number (18426176).

Almost surely, 2388212672 is an apocalyptic number.

388212672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515932928).

388212672 is an abundant number, since it is smaller than the sum of its proper divisors (643653184).

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

388212672 is a wasteful number, since it uses less digits than its factorization.

388212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305 (or 9295 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 388212672 is about 19703.1132565389. The cubic root of 388212672 is about 729.4965390767.

The spelling of 388212672 in words is "three hundred eighty-eight million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 446 669 892 1338 1784 2676 3568 5352 7136 9067 10704 14272 18134 21408 27201 36268 42816 54402 72536 108804 145072 217608 290144 435216 580288 870432 1740864 2021941 4043882 6065823 8087764 12131646 16175528 24263292 32351056 48526584 64702112 97053168 129404224 194106336 388212672