Search a number
-
+
1685054624 = 251115730491
BaseRepresentation
bin110010001101111…
…1110010010100000
311100102201122101112
41210123332102200
511422333221444
6435112322452
756520504461
oct14433762240
94312648345
101685054624
11795195530
123b03a3428
1320b145a56
1411db14d68
159ce0069e
hex646fe4a0

1685054624 has 48 divisors (see below), whose sum is σ = 3642208416. Its totient is φ = 761030400.

The previous prime is 1685054611. The next prime is 1685054633. The reversal of 1685054624 is 4264505861.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40019 + ... + 70509.

It is an arithmetic number, because the mean of its divisors is an integer number (75879342).

Almost surely, 21685054624 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 1685054624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821104208).

1685054624 is an abundant number, since it is smaller than the sum of its proper divisors (1957153792).

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

1685054624 is a wasteful number, since it uses less digits than its factorization.

1685054624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30669 (or 30661 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 1685054624 is about 41049.4168533488. The cubic root of 1685054624 is about 1189.9754306064.

The spelling of 1685054624 in words is "one billion, six hundred eighty-five million, fifty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1256 1727 2512 3454 5024 6908 13816 27632 30491 55264 60982 121964 243928 335401 487856 670802 975712 1341604 2683208 4787087 5366416 9574174 10732832 19148348 38296696 52657957 76593392 105315914 153186784 210631828 421263656 842527312 1685054624