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1388089752 = 233715752627
BaseRepresentation
bin101001010111100…
…1001000110011000
310120201221021011120
41102233021012120
510320322333002
6345423325240
746253365620
oct12257110630
93521837146
101388089752
116525a4415
12328a50820
1319176b5aa
14d24d1880
1581ce0cbc
hex52bc9198

1388089752 has 64 divisors (see below), whose sum is σ = 3991307520. Its totient is φ = 394063488.

The previous prime is 1388089741. The next prime is 1388089793. The reversal of 1388089752 is 2579808831.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1388089695 and 1388089704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63 + ... + 52689.

It is an arithmetic number, because the mean of its divisors is an integer number (62364180).

Almost surely, 21388089752 is an apocalyptic number.

1388089752 is a gapful number since it is divisible by the number (12) 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 1388089752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995653760).

1388089752 is an abundant number, since it is smaller than the sum of its proper divisors (2603217768).

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

1388089752 is a wasteful number, since it uses less digits than its factorization.

1388089752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52800 (or 52796 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 1388089752 is about 37257.0765358744. The cubic root of 1388089752 is about 1115.5075549899.

The spelling of 1388089752 in words is "one billion, three hundred eighty-eight million, eighty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 6594 8792 13188 26376 52627 105254 157881 210508 315762 368389 421016 631524 736778 1105167 1263048 1473556 2210334 2947112 4420668 8262439 8841336 16524878 24787317 33049756 49574634 57837073 66099512 99149268 115674146 173511219 198298536 231348292 347022438 462696584 694044876 1388089752