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2780484096 = 29313178191
BaseRepresentation
bin1010010110111010…
…1101001000000000
321011202222020010110
42211232231020000
521143300442341
61135523231320
7125621503425
oct24556551000
97152866113
102780484096
1111a7568945
12657218540
13354086280
141c53c3d4c
15114182216
hexa5bad200

2780484096 has 160 divisors (see below), whose sum is σ = 8447459328. Its totient is φ = 805109760.

The previous prime is 2780484061. The next prime is 2780484101. The reversal of 2780484096 is 6904840872.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 335361 + ... + 343551.

Almost surely, 22780484096 is an apocalyptic number.

2780484096 is a gapful number since it is divisible by the number (26) 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 2780484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223729664).

2780484096 is an abundant number, since it is smaller than the sum of its proper divisors (5666975232).

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

2780484096 is a wasteful number, since it uses less digits than its factorization.

2780484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2780484096 is about 52730.2958080078. The cubic root of 2780484096 is about 1406.1774800963.

The spelling of 2780484096 in words is "two billion, seven hundred eighty million, four hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 512 544 624 663 768 816 832 884 1088 1248 1326 1536 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 6656 7072 8191 8704 9984 10608 13056 14144 16382 19968 21216 24573 26112 28288 32764 42432 49146 56576 65528 84864 98292 106483 113152 131056 139247 169728 196584 212966 262112 278494 319449 339456 393168 417741 425932 524224 556988 638898 786336 835482 851864 1048448 1113976 1277796 1572672 1670964 1703728 1810211 2096896 2227952 2555592 3145344 3341928 3407456 3620422 4193792 4455904 5111184 5430633 6290688 6683856 6814912 7240844 8911808 10222368 10861266 12581376 13367712 13629824 14481688 17823616 20444736 21722532 26735424 27259648 28963376 35647232 40889472 43445064 53470848 54519296 57926752 71294464 81778944 86890128 106941696 115853504 163557888 173780256 213883392 231707008 347560512 463414016 695121024 926828032 1390242048 2780484096