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1388288 = 28111729
BaseRepresentation
bin101010010111100000000
32121112101002
411102330000
5323411123
645431132
714541326
oct5227400
92545332
101388288
11869050
1256b4a8
13397b95
14281d16
151c6528
hex152f00

1388288 has 72 divisors (see below), whose sum is σ = 3311280. Its totient is φ = 573440.

The previous prime is 1388287. The next prime is 1388293. The reversal of 1388288 is 8828831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388287) 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, 47858 + ... + 47886.

It is an arithmetic number, because the mean of its divisors is an integer number (45990).

21388288 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 1388288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655640).

1388288 is an abundant number, since it is smaller than the sum of its proper divisors (1922992).

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

1388288 is a wasteful number, since it uses less digits than its factorization.

1388288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 1388288 is about 1178.2563388329. The cubic root of 1388288 is about 111.5560658332.

The spelling of 1388288 in words is "one million, three hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 64 68 88 116 128 136 176 187 232 256 272 319 352 374 464 493 544 638 704 748 928 986 1088 1276 1408 1496 1856 1972 2176 2552 2816 2992 3712 3944 4352 5104 5423 5984 7424 7888 10208 10846 11968 15776 20416 21692 23936 31552 40832 43384 47872 63104 81664 86768 126208 173536 347072 694144 1388288