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2548052480 = 2951758549
BaseRepresentation
bin1001011111100000…
…0011001000000000
320120120121110220002
42113320003020000
520204300134410
61100501335132
7120100042301
oct22770031000
96516543802
102548052480
1110983445a6
125b14074a8
13317b8527c
141a259c7a8
15eda6d7a5
hex97e03200

2548052480 has 80 divisors (see below), whose sum is σ = 6468838200. Its totient is φ = 959250432.

The previous prime is 2548052459. The next prime is 2548052483. The reversal of 2548052480 is 842508452.

It can be written as a sum of positive squares in 4 ways, for example, as 2211256576 + 336795904 = 47024^2 + 18352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2548052483) 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 7 ways as a sum of consecutive naturals, for example, 14246 + ... + 72794.

Almost surely, 22548052480 is an apocalyptic number.

2548052480 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 2548052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234419100).

2548052480 is an abundant number, since it is smaller than the sum of its proper divisors (3920785720).

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

2548052480 is an equidigital number, since it uses as much as digits as its factorization.

2548052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58589 (or 58573 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 2548052480 is about 50478.2376871459. The cubic root of 2548052480 is about 1365.8493160174.

The spelling of 2548052480 in words is "two billion, five hundred forty-eight million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 43520 58549 117098 234196 292745 468392 585490 936784 995333 1170980 1873568 1990666 2341960 3747136 3981332 4683920 4976665 7494272 7962664 9367840 9953330 14988544 15925328 18735680 19906660 29977088 31850656 37471360 39813320 63701312 74942720 79626640 127402624 149885440 159253280 254805248 318506560 509610496 637013120 1274026240 2548052480