Search a number
-
+
388289748 = 223711478941
BaseRepresentation
bin10111001001001…
…101010011010100
31000001122011101210
4113021031103110
51243400232443
6102310221420
712423260040
oct2711152324
91001564353
10388289748
1118a1a7920
12aa054870
13625a1462
14397d7020
152414dc33
hex1724d4d4

388289748 has 96 divisors (see below), whose sum is σ = 1153732608. Its totient is φ = 98697600.

The previous prime is 388289747. The next prime is 388289767. The reversal of 388289748 is 847982883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388289747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38958 + ... + 47898.

It is an arithmetic number, because the mean of its divisors is an integer number (12018048).

Almost surely, 2388289748 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 388289748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576866304).

388289748 is an abundant number, since it is smaller than the sum of its proper divisors (765442860).

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

388289748 is a wasteful number, since it uses less digits than its factorization.

388289748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9013 (or 9011 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The square root of 388289748 is about 19705.0690940174. The cubic root of 388289748 is about 729.5448141234.

The spelling of 388289748 in words is "three hundred eighty-eight million, two hundred eighty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 658 924 987 1034 1316 1551 1974 2068 3102 3619 3948 6204 7238 8941 10857 14476 17882 21714 26823 35764 43428 53646 62587 98351 107292 125174 187761 196702 250348 295053 375522 393404 420227 590106 688457 751044 840454 1180212 1260681 1376914 1680908 2065371 2521362 2753828 2941589 4130742 4622497 5042724 5883178 8261484 8824767 9244994 11766356 13867491 17649534 18489988 27734982 32357479 35299068 55469964 64714958 97072437 129429916 194144874 388289748