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1869307648 = 2813243207
BaseRepresentation
bin110111101101011…
…0101111100000000
311211021102200000121
41233122311330000
512312020321043
6505253430024
764215565345
oct15732657400
94737380017
101869307648
1187a1a255a
1244203b314
1323a378700
1413a3987cc
15ae198ded
hex6f6b5f00

1869307648 has 54 divisors (see below), whose sum is σ = 4040509704. Its totient is φ = 862737408.

The previous prime is 1869307637. The next prime is 1869307651. The reversal of 1869307648 is 8467039681.

It is a happy number.

It is a super-2 number, since 2×18693076482 = 6988622165742583808, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1869307595 and 1869307604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21661 + ... + 64867.

Almost surely, 21869307648 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 1869307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020254852).

1869307648 is an abundant number, since it is smaller than the sum of its proper divisors (2171202056).

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

1869307648 is an equidigital number, since it uses as much as digits as its factorization.

1869307648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43249 (or 43222 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 1869307648 is about 43235.4906066764. The cubic root of 1869307648 is about 1231.8569013533.

The spelling of 1869307648 in words is "one billion, eight hundred sixty-nine million, three hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 21632 43207 43264 86414 172828 345656 561691 691312 1123382 1382624 2246764 2765248 4493528 5530496 7301983 8987056 11060992 14603966 17974112 29207932 35948224 58415864 71896448 116831728 143792896 233663456 467326912 934653824 1869307648