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1388673888 = 25379672137
BaseRepresentation
bin101001011000101…
…0111101101100000
310120210000221110020
41102301113231200
510321000031023
6345444033440
746261350630
oct12261275540
93523027406
101388673888
11652963278
12329092880
13191914434
14d26046c0
1581da8de3
hex52c57b60

1388673888 has 96 divisors (see below), whose sum is σ = 4172281344. Its totient is φ = 396168192.

The previous prime is 1388673887. The next prime is 1388673911. The reversal of 1388673888 is 8883768831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388673887) 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, 648756 + ... + 650892.

It is an arithmetic number, because the mean of its divisors is an integer number (43461264).

Almost surely, 21388673888 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 1388673888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086140672).

1388673888 is an abundant number, since it is smaller than the sum of its proper divisors (2783607456).

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

1388673888 is a wasteful number, since it uses less digits than its factorization.

1388673888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3116 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The square root of 1388673888 is about 37264.9149737390. The cubic root of 1388673888 is about 1115.6640090276.

The spelling of 1388673888 in words is "one billion, three hundred eighty-eight million, six hundred seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 967 1934 2137 2901 3868 4274 5802 6411 6769 7736 8548 11604 12822 13538 14959 15472 17096 20307 23208 25644 27076 29918 30944 34192 40614 44877 46416 51288 54152 59836 68384 81228 89754 92832 102576 108304 119672 162456 179508 205152 216608 239344 324912 359016 478688 649824 718032 1436064 2066479 4132958 6199437 8265916 12398874 14465353 16531832 24797748 28930706 33063664 43396059 49595496 57861412 66127328 86792118 99190992 115722824 173584236 198381984 231445648 347168472 462891296 694336944 1388673888