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2458484016 = 243312223239
BaseRepresentation
bin1001001010001001…
…0111110100110000
320100100001221001120
42102202113310300
520013332442031
61043541502240
7114631524612
oct22242276460
96310057046
102458484016
11105182847a
12587411980
13302454891
14194724db2
15e5c79a96
hex92897d30

2458484016 has 120 divisors (see below), whose sum is σ = 6619576320. Its totient is φ = 786199680.

The previous prime is 2458484011. The next prime is 2458484033. The reversal of 2458484016 is 6104848542.

It is not an unprimeable number, because it can be changed into a prime (2458484011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10286425 + ... + 10286663.

It is an arithmetic number, because the mean of its divisors is an integer number (55163136).

Almost surely, 22458484016 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 2458484016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309788160).

2458484016 is an abundant number, since it is smaller than the sum of its proper divisors (4161092304).

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

2458484016 is a wasteful number, since it uses less digits than its factorization.

2458484016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 2458484016 is about 49583.1021215898. The cubic root of 2458484016 is about 1349.6540523710.

The spelling of 2458484016 in words is "two billion, four hundred fifty-eight million, four hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 223 239 248 372 446 478 496 669 717 744 892 956 961 1338 1434 1488 1784 1912 1922 2676 2868 2883 3568 3824 3844 5352 5736 5766 6913 7409 7688 10704 11472 11532 13826 14818 15376 20739 22227 23064 27652 29636 41478 44454 46128 53297 55304 59272 82956 88908 106594 110608 118544 159891 165912 177816 213188 214303 229679 319782 331824 355632 426376 428606 459358 639564 642909 689037 852752 857212 918716 1279128 1285818 1378074 1652207 1714424 1837432 2558256 2571636 2756148 3304414 3428848 3674864 4956621 5143272 5512296 6608828 9913242 10286544 11024592 13217656 19826484 26435312 39652968 51218417 79305936 102436834 153655251 204873668 307310502 409747336 614621004 819494672 1229242008 2458484016