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1889028648 = 2333133121701
BaseRepresentation
bin111000010011000…
…0100101000101000
311212122112121011000
41300212010220220
512332042404043
6511240235000
764545323103
oct16046045050
94778477130
101889028648
1188a342201
1244876ba60
13241491b40
1413cc4d73a
15b0c922d3
hex70984a28

1889028648 has 128 divisors (see below), whose sum is σ = 5833497600. Its totient is φ = 562464000.

The previous prime is 1889028641. The next prime is 1889028667. The reversal of 1889028648 is 8468209881.

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

It is a junction number, because it is equal to n+sod(n) for n = 1889028594 and 1889028603.

It is not an unprimeable number, because it can be changed into a prime (1889028641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76198 + ... + 97898.

It is an arithmetic number, because the mean of its divisors is an integer number (45574200).

Almost surely, 21889028648 is an apocalyptic number.

1889028648 is a gapful number since it is divisible by the number (18) 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 1889028648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916748800).

1889028648 is an abundant number, since it is smaller than the sum of its proper divisors (3944468952).

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

1889028648 is a wasteful number, since it uses less digits than its factorization.

1889028648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21760 (or 21750 counting only the distinct ones).

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

The square root of 1889028648 is about 43462.9571934538. The cubic root of 1889028648 is about 1236.1737431318.

The spelling of 1889028648 in words is "one billion, eight hundred eighty-nine million, twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 52 54 62 72 78 93 104 108 117 124 156 186 216 234 248 279 312 351 372 403 468 558 702 744 806 837 936 1116 1209 1404 1612 1674 2232 2418 2808 3224 3348 3627 4836 6696 7254 9672 10881 14508 21701 21762 29016 43402 43524 65103 86804 87048 130206 173608 195309 260412 282113 390618 520824 564226 585927 672731 781236 846339 1128452 1171854 1345462 1562472 1692678 2018193 2256904 2343708 2539017 2690924 3385356 4036386 4687416 5078034 5381848 6054579 6770712 7617051 8072772 8745503 10156068 12109158 15234102 16145544 17491006 18163737 20312136 24218316 26236509 30468204 34982012 36327474 48436632 52473018 60936408 69964024 72654948 78709527 104946036 145309896 157419054 209892072 236128581 314838108 472257162 629676216 944514324 1889028648