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1388731428 = 22327173110457
BaseRepresentation
bin101001011000110…
…0101110000100100
310120210010212101100
41102301211300210
510321003401203
6345445200100
746262010450
oct12261456044
93523125340
101388731428
116529a2527
12329100030
13191934696
14d261b660
1581dbaea3
hex52c65c24

1388731428 has 144 divisors (see below), whose sum is σ = 4385332224. Its totient is φ = 361359360.

The previous prime is 1388731427. The next prime is 1388731453. The reversal of 1388731428 is 8241378831.

It is a super-2 number, since 2×13887314282 = 3857149958229838368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1388731423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127576 + ... + 138032.

It is an arithmetic number, because the mean of its divisors is an integer number (30453696).

Almost surely, 21388731428 is an apocalyptic number.

1388731428 is a gapful number since it is divisible by the number (18) 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 1388731428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192666112).

1388731428 is an abundant number, since it is smaller than the sum of its proper divisors (2996600796).

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

1388731428 is a wasteful number, since it uses less digits than its factorization.

1388731428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10517 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1388731428 is about 37265.6870056088. The cubic root of 1388731428 is about 1115.6794180738.

The spelling of 1388731428 in words is "one billion, three hundred eighty-eight million, seven hundred thirty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7378 7812 9486 10457 11067 14756 18972 20914 22134 31371 33201 41828 44268 62742 66402 73199 94113 125484 132804 146398 177769 188226 219597 292796 324167 355538 376452 439194 533307 648334 658791 711076 878388 972501 1066614 1244383 1296668 1317582 1599921 1945002 2133228 2269169 2488766 2635164 2917503 3199842 3733149 3890004 4538338 4977532 5510839 5835006 6399684 6807507 7466298 9076676 11021678 11199447 11670012 13615014 14932596 16532517 20422521 22043356 22398894 27230028 33065034 38575873 40845042 44797788 49597551 66130068 77151746 81690084 99195102 115727619 154303492 198390204 231455238 347182857 462910476 694365714 1388731428