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1685327488 = 27134461
BaseRepresentation
bin110010001110100…
…0000111010000000
311100110020111200121
41210131000322000
511422420434423
6435122230024
756523022135
oct14435007200
94313214617
101685327488
11795361539
123b04b5314
1320b210000
1411db8658c
159ce5645d
hex64740e80

1685327488 has 80 divisors (see below), whose sum is σ = 3645159210. Its totient is φ = 776156160.

The previous prime is 1685327477. The next prime is 1685327513. The reversal of 1685327488 is 8847235861.

It can be written as a sum of positive squares in 5 ways, for example, as 359785024 + 1325542464 = 18968^2 + 36408^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3655578 + ... + 3656038.

Almost surely, 21685327488 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 1685327488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822579605).

1685327488 is an abundant number, since it is smaller than the sum of its proper divisors (1959831722).

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

1685327488 is an frugal number, since it uses more digits than its factorization.

1685327488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 476 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The square root of 1685327488 is about 41052.7403226630. The cubic root of 1685327488 is about 1190.0396587776.

The spelling of 1685327488 in words is "one billion, six hundred eighty-five million, three hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 461 676 832 922 1352 1664 1844 2197 2704 3688 4394 5408 5993 7376 8788 10816 11986 14752 17576 21632 23972 28561 29504 35152 47944 57122 59008 70304 77909 95888 114244 140608 155818 191776 228488 281216 311636 383552 456976 623272 767104 913952 1012817 1246544 1827904 2025634 2493088 3655808 4051268 4986176 8102536 9972352 13166621 16205072 26333242 32410144 52666484 64820288 105332968 129640576 210665936 421331872 842663744 1685327488