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2416061382 = 237431578521
BaseRepresentation
bin1001000000000010…
…0010101111000110
320020101020122010220
42100000202233012
514422002431012
61035424325210
7113605116510
oct22000425706
96211218126
102416061382
11102a892749
12575173806
132c6720427
1418cc40bb0
15e219a08c
hex90022bc6

2416061382 has 64 divisors (see below), whose sum is σ = 5687514624. Its totient is φ = 669876480.

The previous prime is 2416061317. The next prime is 2416061383. The reversal of 2416061382 is 2831606142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416061383) 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, 279282 + ... + 287802.

It is an arithmetic number, because the mean of its divisors is an integer number (88867416).

Almost surely, 22416061382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416061382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843757312).

2416061382 is an abundant number, since it is smaller than the sum of its proper divisors (3271453242).

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

2416061382 is a wasteful number, since it uses less digits than its factorization.

2416061382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2416061382 is about 49153.4473053518. The cubic root of 2416061382 is about 1341.8459340741.

The spelling of 2416061382 in words is "two billion, four hundred sixteen million, sixty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 157 258 301 314 471 602 903 942 1099 1806 2198 3297 6594 6751 8521 13502 17042 20253 25563 40506 47257 51126 59647 94514 119294 141771 178941 283542 357882 366403 732806 1099209 1337797 2198418 2564821 2675594 4013391 5129642 7694463 8026782 9364579 15388926 18729158 28093737 56187474 57525271 115050542 172575813 345151626 402676897 805353794 1208030691 2416061382