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1438889984 = 2117293461
BaseRepresentation
bin101010111000011…
…1011100000000000
310201021112011222122
41111300323200000
510421323434414
6354440223412
750441235350
oct12560734000
93637464878
101438889984
11679241384
12341a6ab68
1319c146cbc
14d9156b60
15864c7b8e
hex55c3b800

1438889984 has 96 divisors (see below), whose sum is σ = 3402453600. Its totient is φ = 595230720.

The previous prime is 1438889981. The next prime is 1438889993. The reversal of 1438889984 is 4899888341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438889981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414014 + ... + 417474.

It is an arithmetic number, because the mean of its divisors is an integer number (35442225).

Almost surely, 21438889984 is an apocalyptic number.

1438889984 is a gapful number since it is divisible by the number (14) 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 1438889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701226800).

1438889984 is an abundant number, since it is smaller than the sum of its proper divisors (1963563616).

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

1438889984 is an equidigital number, since it uses as much as digits as its factorization.

1438889984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3499 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 62.

The square root of 1438889984 is about 37932.7033573933. The cubic root of 1438889984 is about 1128.9530031120.

The spelling of 1438889984 in words is "one billion, four hundred thirty-eight million, eight hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1024 1624 1792 1856 2048 3248 3461 3584 3712 6496 6922 7168 7424 12992 13844 14336 14848 24227 25984 27688 29696 48454 51968 55376 59392 96908 100369 103936 110752 193816 200738 207872 221504 387632 401476 415744 443008 702583 775264 802952 886016 1405166 1550528 1605904 1772032 2810332 3101056 3211808 3544064 5620664 6202112 6423616 7088128 11241328 12404224 12847232 22482656 24808448 25694464 44965312 49616896 51388928 89930624 102777856 179861248 205555712 359722496 719444992 1438889984