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2549138160 = 243542125229
BaseRepresentation
bin1001011111110000…
…1100001011110000
320120122122122011110
42113330030023300
520210034410120
61100540513320
7120112213452
oct22774141360
96518578143
102549138160
111098a16258
125b184b840
1331817549a
141a27a22d2
15edbd52e0
hex97f0c2f0

2549138160 has 80 divisors (see below), whose sum is σ = 7921412640. Its totient is φ = 678128640.

The previous prime is 2549138149. The next prime is 2549138167. The reversal of 2549138160 is 618319452.

2549138160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2549138167) 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, 88426 + ... + 113654.

It is an arithmetic number, because the mean of its divisors is an integer number (99017658).

Almost surely, 22549138160 is an apocalyptic number.

2549138160 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 2549138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960706320).

2549138160 is an abundant number, since it is smaller than the sum of its proper divisors (5372274480).

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

2549138160 is a wasteful number, since it uses less digits than its factorization.

2549138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25666 (or 25660 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2549138160 is about 50488.9904830746. The cubic root of 2549138160 is about 1366.0432765340.

The spelling of 2549138160 in words is "two billion, five hundred forty-nine million, one hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 16840 20208 25229 25260 33680 50458 50520 75687 100916 101040 126145 151374 201832 252290 302748 378435 403664 504580 605496 756870 1009160 1210992 1513740 2018320 3027480 6054960 10621409 21242818 31864227 42485636 53107045 63728454 84971272 106214090 127456908 159321135 169942544 212428180 254913816 318642270 424856360 509827632 637284540 849712720 1274569080 2549138160