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2485409560 = 235533833061
BaseRepresentation
bin1001010000100100…
…0101011100011000
320102012201212221221
42110021011130120
520042231101220
61050342541424
7115406430004
oct22411053430
96365655857
102485409560
111065a48a97
12594437874
13307bc135a
14198133704
15e82e79aa
hex94245718

2485409560 has 64 divisors (see below), whose sum is σ = 5714426880. Its totient is φ = 972541440.

The previous prime is 2485409527. The next prime is 2485409561. The reversal of 2485409560 is 659045842.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2485409561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810430 + ... + 813490.

It is an arithmetic number, because the mean of its divisors is an integer number (89287920).

Almost surely, 22485409560 is an apocalyptic number.

2485409560 is a gapful number since it is divisible by the number (20) 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 2485409560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857213440).

2485409560 is an abundant number, since it is smaller than the sum of its proper divisors (3229017320).

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

2485409560 is a wasteful number, since it uses less digits than its factorization.

2485409560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 2485409560 is about 49853.8820955801. The cubic root of 2485409560 is about 1354.5633519958.

The spelling of 2485409560 in words is "two billion, four hundred eighty-five million, four hundred nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 383 424 530 766 1060 1532 1915 2120 3061 3064 3830 6122 7660 12244 15305 15320 20299 24488 30610 40598 61220 81196 101495 122440 162233 162392 202990 324466 405980 648932 811165 811960 1172363 1297864 1622330 2344726 3244660 4689452 5861815 6489320 9378904 11723630 23447260 46894520 62135239 124270478 248540956 310676195 497081912 621352390 1242704780 2485409560