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2538905780 = 2251925932
BaseRepresentation
bin1001011101010100…
…1010000010110100
320112221101202222102
42113111022002310
520144424441110
61055533321232
7116626225445
oct22725120264
96487352872
102538905780
111093167544
125aa336218
13316001c18
141a129b2cc
15ecd635a5
hex9754a0b4

2538905780 has 54 divisors (see below), whose sum is σ = 5636592486. Its totient is φ = 960489216.

The previous prime is 2538905777. The next prime is 2538905791. The reversal of 2538905780 is 875098352.

It can be written as a sum of positive squares in 3 ways, for example, as 456078736 + 2082827044 = 21356^2 + 45638^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4281164 + ... + 4281756.

Almost surely, 22538905780 is an apocalyptic number.

2538905780 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 2538905780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818296243).

2538905780 is an abundant number, since it is smaller than the sum of its proper divisors (3097686706).

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

2538905780 is an equidigital number, since it uses as much as digits as its factorization.

2538905780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The square root of 2538905780 is about 50387.5558049803. Note that the first 3 decimals coincide. The cubic root of 2538905780 is about 1364.2130346388.

The spelling of 2538905780 in words is "two billion, five hundred thirty-eight million, nine hundred five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 593 722 1186 1444 1805 2372 2965 3610 5930 7220 11267 11860 22534 45068 56335 112670 214073 225340 351649 428146 703298 856292 1070365 1406596 1758245 2140730 3516490 4281460 6681331 7032980 13362662 26725324 33406655 66813310 126945289 133626620 253890578 507781156 634726445 1269452890 2538905780