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1388814984 = 233779379
BaseRepresentation
bin101001011000111…
…1010001010001000
310120210022010000000
41102301322022020
510321014034414
6345451043000
746262506164
oct12261721210
93523263000
101388814984
11652a4a287
12329140460
1319196371b
14d263dca4
1581dd5b09
hex52c7a288

1388814984 has 64 divisors (see below), whose sum is σ = 3905496000. Its totient is φ = 462932496.

The previous prime is 1388814961. The next prime is 1388815031. The reversal of 1388814984 is 4894188831.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1388814984.

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 15 ways as a sum of consecutive naturals, for example, 22194 + ... + 57185.

It is an arithmetic number, because the mean of its divisors is an integer number (61023375).

Almost surely, 21388814984 is an apocalyptic number.

It is an amenable number.

1388814984 is an abundant number, since it is smaller than the sum of its proper divisors (2516681016).

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

1388814984 is an frugal number, since it uses more digits than its factorization.

1388814984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79406 (or 79384 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 1388814984 is about 37266.8080736733. The cubic root of 1388814984 is about 1115.7017933721.

The spelling of 1388814984 in words is "one billion, three hundred eighty-eight million, eight hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 79379 158758 238137 317516 476274 635032 714411 952548 1428822 1905096 2143233 2857644 4286466 5715288 6429699 8572932 12859398 17145864 19289097 25718796 38578194 51437592 57867291 77156388 115734582 154312776 173601873 231469164 347203746 462938328 694407492 1388814984