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2450480448 = 263131099007
BaseRepresentation
bin1001001000001111…
…0101110101000000
320022210000022020010
42102003311311000
520004310333243
61043054144520
7114503511603
oct22203656500
96283008203
102450480448
111048261259
125847b2140
133008b1940
1419364033a
15e51e8433
hex920f5d40

2450480448 has 112 divisors (see below), whose sum is σ = 7047138560. Its totient is φ = 746993664.

The previous prime is 2450480411. The next prime is 2450480449. The reversal of 2450480448 is 8440840542.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450480449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267561 + ... + 276567.

It is an arithmetic number, because the mean of its divisors is an integer number (62920880).

Almost surely, 22450480448 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 2450480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523569280).

2450480448 is an abundant number, since it is smaller than the sum of its proper divisors (4596658112).

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

2450480448 is a wasteful number, since it uses less digits than its factorization.

2450480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The square root of 2450480448 is about 49502.3277028465. The cubic root of 2450480448 is about 1348.1878654655.

The spelling of 2450480448 in words is "two billion, four hundred fifty million, four hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 156 192 208 218 312 327 416 436 624 654 832 872 1248 1308 1417 1744 2496 2616 2834 3488 4251 5232 5668 6976 8502 9007 10464 11336 17004 18014 20928 22672 27021 34008 36028 45344 54042 68016 72056 90688 108084 117091 136032 144112 216168 234182 272064 288224 351273 432336 468364 576448 702546 864672 936728 981763 1405092 1729344 1873456 1963526 2810184 2945289 3746912 3927052 5620368 5890578 7493824 7854104 11240736 11781156 12762919 15708208 22481472 23562312 25525838 31416416 38288757 47124624 51051676 62832832 76577514 94249248 102103352 153155028 188498496 204206704 306310056 408413408 612620112 816826816 1225240224 2450480448