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2545905420 = 22325233971549
BaseRepresentation
bin1001011110111111…
…0110111100001100
320120102120101200100
42113233312330030
520203222433140
61100343331100
7120042560532
oct22757667414
96512511610
102545905420
111097108473
125b0750a90
133175b2c16
141a21a0152
15ed797530
hex97bf6f0c

2545905420 has 144 divisors (see below), whose sum is σ = 8083857600. Its totient is φ = 647336448.

The previous prime is 2545905409. The next prime is 2545905493. The reversal of 2545905420 is 245095452.

2545905420 is a `hidden beast` number, since 2 + 545 + 90 + 5 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1642806 + ... + 1644354.

It is an arithmetic number, because the mean of its divisors is an integer number (56137900).

Almost surely, 22545905420 is an apocalyptic number.

2545905420 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 2545905420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041928800).

2545905420 is an abundant number, since it is smaller than the sum of its proper divisors (5537952180).

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

2545905420 is a wasteful number, since it uses less digits than its factorization.

2545905420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2545905420 is about 50456.9660205605. The cubic root of 2545905420 is about 1365.4655739860.

The spelling of 2545905420 in words is "two billion, five hundred forty-five million, nine hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 397 414 460 690 794 828 1035 1191 1380 1549 1588 1985 2070 2382 3098 3573 3970 4140 4647 4764 5955 6196 7146 7745 7940 9131 9294 11910 13941 14292 15490 17865 18262 18588 23235 23820 27393 27882 30980 35627 35730 36524 45655 46470 54786 55764 69705 71254 71460 82179 91310 92940 106881 109572 136965 139410 142508 164358 178135 182620 213762 273930 278820 320643 328716 356270 410895 427524 534405 547860 614953 641286 712540 821790 1068810 1229906 1282572 1603215 1643580 1844859 2137620 2459812 3074765 3206430 3689718 5534577 6149530 6412860 7379436 9224295 11069154 12299060 14143919 18448590 22138308 27672885 28287838 36897180 42431757 55345770 56575676 70719595 84863514 110691540 127295271 141439190 169727028 212158785 254590542 282878380 424317570 509181084 636476355 848635140 1272952710 2545905420