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1388886272 = 281371992
BaseRepresentation
bin101001011001000…
…1011100100000000
310120210102201210022
41102302023210000
510321023330042
6345452353012
746263224054
oct12262134400
93523381708
101388886272
11652a988a4
12329175768
13191989cc7
14d265bc64
1581debcd2
hex52c8b900

1388886272 has 54 divisors (see below), whose sum is σ = 2806686918. Its totient is φ = 685910016.

The previous prime is 1388886251. The next prime is 1388886293. The reversal of 1388886272 is 2726888831.

It is an interprime number because it is at equal distance from previous prime (1388886251) and next prime (1388886293).

It can be written as a sum of positive squares in only one way, i.e., 1226680576 + 162205696 = 35024^2 + 12736^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6979229 + ... + 6979427.

Almost surely, 21388886272 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 1388886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403343459).

1388886272 is an abundant number, since it is smaller than the sum of its proper divisors (1417800646).

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

1388886272 is an frugal number, since it uses more digits than its factorization.

1388886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 338 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 53.

The square root of 1388886272 is about 37267.7645157313. The cubic root of 1388886272 is about 1115.7208827372.

The spelling of 1388886272 in words is "one billion, three hundred eighty-eight million, eight hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 137 199 256 274 398 548 796 1096 1592 2192 3184 4384 6368 8768 12736 17536 25472 27263 35072 39601 50944 54526 79202 109052 158404 218104 316808 436208 633616 872416 1267232 1744832 2534464 3489664 5068928 5425337 6979328 10137856 10850674 21701348 43402696 86805392 173610784 347221568 694443136 1388886272