Search a number
-
+
2840786432 = 29113153307
BaseRepresentation
bin1010100101010010…
…1111011000000000
321022222102220101022
42221110233120000
521304220131212
61145515525012
7130253200121
oct25124573000
97288386338
102840786432
111228605990
12673459768
1336370aa23
141cd400048
151195e4772
hexa952f600

2840786432 has 160 divisors (see below), whose sum is σ = 6533581824. Its totient is φ = 1222041600.

The previous prime is 2840786381. The next prime is 2840786471. The reversal of 2840786432 is 2346870482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9253223 + ... + 9253529.

Almost surely, 22840786432 is an apocalyptic number.

2840786432 is a gapful number since it is divisible by the number (22) 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 2840786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266790912).

2840786432 is an abundant number, since it is smaller than the sum of its proper divisors (3692795392).

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

2840786432 is a wasteful number, since it uses less digits than its factorization.

2840786432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 2840786432 is about 53299.0284339218. The cubic root of 2840786432 is about 1416.2704538359.

The spelling of 2840786432 in words is "two billion, eight hundred forty million, seven hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 53 62 64 88 106 124 128 176 212 248 256 307 341 352 424 496 512 583 614 682 704 848 992 1166 1228 1364 1408 1643 1696 1984 2332 2456 2728 2816 3286 3377 3392 3968 4664 4912 5456 5632 6572 6754 6784 7936 9328 9517 9824 10912 13144 13508 13568 15872 16271 18073 18656 19034 19648 21824 26288 27016 27136 32542 36146 37312 38068 39296 43648 52576 54032 65084 72292 74624 76136 78592 87296 104687 105152 108064 130168 144584 149248 152272 157184 174592 178981 209374 210304 216128 260336 289168 298496 304544 357962 418748 420608 432256 504401 520672 578336 609088 715924 837496 841216 864512 1008802 1041344 1156672 1218176 1431848 1674992 1729024 2017604 2082688 2313344 2436352 2863696 3349984 4035208 4165376 4626688 4872704 5548411 5727392 6699968 8070416 8330752 9253376 11096822 11454784 13399936 16140832 22193644 22909568 26799872 32281664 44387288 45819136 53599744 64563328 88774576 91638272 129126656 177549152 258253312 355098304 710196608 1420393216 2840786432