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1388890016 = 25375322133
BaseRepresentation
bin101001011001000…
…1100011110100000
310120210102220220222
41102302030132200
510321023440031
6345452422212
746263241013
oct12262143640
93523386828
101388890016
11652aa0698
12329177968
1319198b917
14d265d37a
1581dece7b
hex52c8c7a0

1388890016 has 48 divisors (see below), whose sum is σ = 2861394984. Its totient is φ = 662897664.

The previous prime is 1388890003. The next prime is 1388890033. The reversal of 1388890016 is 6100988831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1384137616 + 4752400 = 37204^2 + 2180^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51686 + ... + 73818.

Almost surely, 21388890016 is an apocalyptic number.

1388890016 is a gapful number since it is divisible by the number (16) 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 1388890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430697492).

1388890016 is an abundant number, since it is smaller than the sum of its proper divisors (1472504968).

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

1388890016 is a wasteful number, since it uses less digits than its factorization.

1388890016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22233 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 1388890016 is about 37267.8147467758. The cubic root of 1388890016 is about 1115.7218852803.

The spelling of 1388890016 in words is "one billion, three hundred eighty-eight million, eight hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 848 1184 1696 1961 3922 7844 15688 22133 31376 44266 62752 88532 177064 354128 708256 818921 1173049 1637842 2346098 3275684 4692196 6551368 9384392 13102736 18768784 26205472 37537568 43402813 86805626 173611252 347222504 694445008 1388890016