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1388125000 = 23572221
BaseRepresentation
bin101001010111101…
…0001101101001000
310120202000001112001
41102233101231020
510320330000000
6345424200344
746253603443
oct12257215510
93522001461
101388125000
11652618949
12328a690b4
13191781652
14d250065a
1581ceb46a
hex52bd1b48

1388125000 has 64 divisors (see below), whose sum is σ = 3254874480. Its totient is φ = 555000000.

The previous prime is 1388124979. The next prime is 1388125001. The reversal of 1388125000 is 5218831.

It can be written as a sum of positive squares in 8 ways, for example, as 1197298404 + 190826596 = 34602^2 + 13814^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1388125000.

It is not an unprimeable number, because it can be changed into a prime (1388125001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623890 + ... + 626110.

Almost surely, 21388125000 is an apocalyptic number.

1388125000 is a gapful number since it is divisible by the number (10) 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 1388125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627437240).

1388125000 is an abundant number, since it is smaller than the sum of its proper divisors (1866749480).

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

1388125000 is an frugal number, since it uses more digits than its factorization.

1388125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1388125000 is about 37257.5495705233. The cubic root of 1388125000 is about 1115.5169970012.

The spelling of 1388125000 in words is "one billion, three hundred eighty-eight million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2221 2500 3125 4442 5000 6250 8884 11105 12500 15625 17768 22210 25000 31250 44420 55525 62500 78125 88840 111050 125000 156250 222100 277625 312500 444200 555250 625000 1110500 1388125 2221000 2776250 5552500 6940625 11105000 13881250 27762500 34703125 55525000 69406250 138812500 173515625 277625000 347031250 694062500 1388125000