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2561239590 = 235713938183
BaseRepresentation
bin1001100010101001…
…0110101000100110
320121111102110012120
42120222112220212
520221134131330
61102052130410
7120320114550
oct23052265046
96544373176
102561239590
1110a4831238
125b5906a06
1331a8216b0
141a42324d0
15eecc5c10
hex98a96a26

2561239590 has 64 divisors (see below), whose sum is σ = 7565515776. Its totient is φ = 540392832.

The previous prime is 2561239559. The next prime is 2561239643. The reversal of 2561239590 is 959321652.

2561239590 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466362 + ... + 471821.

It is an arithmetic number, because the mean of its divisors is an integer number (118211184).

Almost surely, 22561239590 is an apocalyptic number.

2561239590 is an abundant number, since it is smaller than the sum of its proper divisors (5004276186).

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

2561239590 is a wasteful number, since it uses less digits than its factorization.

2561239590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938213.

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 2561239590 is about 50608.6908544372. The cubic root of 2561239590 is about 1368.2015205758.

The spelling of 2561239590 in words is "two billion, five hundred sixty-one million, two hundred thirty-nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 938183 1876366 2814549 4690915 5629098 6567281 9381830 12196379 13134562 14072745 19701843 24392758 28145490 32836405 36589137 39403686 60981895 65672810 73178274 85374653 98509215 121963790 170749306 182945685 197018430 256123959 365891370 426873265 512247918 853746530 1280619795 2561239590