Search a number
-
+
2780057376 = 25341517103
BaseRepresentation
bin1010010110110100…
…0100111100100000
321011202011112210000
42211231010330200
521143143314001
61135510140000
7125615045355
oct24555047440
97152145700
102780057376
1111a72a7288
12657051600
13353c66c85
141c531262c
151140eaa86
hexa5b44f20

2780057376 has 120 divisors (see below), whose sum is σ = 8231376384. Its totient is φ = 920419200.

The previous prime is 2780057369. The next prime is 2780057393. The reversal of 2780057376 is 6737500872.

2780057376 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 0 + 573 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 387841 + ... + 394943.

Almost surely, 22780057376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780057376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115688192).

2780057376 is an abundant number, since it is smaller than the sum of its proper divisors (5451319008).

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

2780057376 is a wasteful number, since it uses less digits than its factorization.

2780057376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 2780057376 is about 52726.2494019819. The cubic root of 2780057376 is about 1406.1055412141.

The spelling of 2780057376 in words is "two billion, seven hundred eighty million, fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 151 162 216 288 302 324 432 453 604 648 864 906 1208 1296 1359 1812 2416 2592 2718 3624 4077 4832 5436 7103 7248 8154 10872 12231 14206 14496 16308 21309 21744 24462 28412 32616 42618 43488 48924 56824 63927 65232 85236 97848 113648 127854 130464 170472 191781 195696 227296 255708 340944 383562 391392 511416 575343 681888 767124 1022832 1072553 1150686 1534248 2045664 2145106 2301372 3068496 3217659 4290212 4602744 6136992 6435318 8580424 9205488 9652977 12870636 17160848 18410976 19305954 25741272 28958931 34321696 38611908 51482544 57917862 77223816 86876793 102965088 115835724 154447632 173753586 231671448 308895264 347507172 463342896 695014344 926685792 1390028688 2780057376