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2780258328 = 2332711134813
BaseRepresentation
bin1010010110110111…
…0110000000011000
321011202112202102200
42211231312000120
521143221231303
61135514330200
7125616543261
oct24555660030
97152482380
102780258328
1111a7424261
12657129960
13354007593
141c5365968
1511413a3a3
hexa5b76018

2780258328 has 96 divisors (see below), whose sum is σ = 7705095840. Its totient is φ = 905425920.

The previous prime is 2780258317. The next prime is 2780258347. The reversal of 2780258328 is 8238520872.

2780258328 is a `hidden beast` number, since 2 + 78 + 0 + 258 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575250 + ... + 580062.

It is an arithmetic number, because the mean of its divisors is an integer number (80261415).

Almost surely, 22780258328 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 2780258328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852547920).

2780258328 is an abundant number, since it is smaller than the sum of its proper divisors (4924837512).

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

2780258328 is a wasteful number, since it uses less digits than its factorization.

2780258328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2780258328 is about 52728.1549838414. The cubic root of 2780258328 is about 1406.1394197611.

The spelling of 2780258328 in words is "two billion, seven hundred eighty million, two hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 113 142 213 226 284 339 426 452 568 639 678 852 904 1017 1278 1356 1704 2034 2556 2712 4068 4813 5112 8023 8136 9626 14439 16046 19252 24069 28878 32092 38504 43317 48138 57756 64184 72207 86634 96276 115512 144414 173268 192552 288828 341723 346536 543869 577656 683446 1025169 1087738 1366892 1631607 2050338 2175476 2733784 3075507 3263214 4100676 4350952 4894821 6151014 6526428 8201352 9789642 12302028 13052856 19579284 24604056 38614699 39158568 77229398 115844097 154458796 231688194 308917592 347532291 463376388 695064582 926752776 1390129164 2780258328