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2825482104 = 2332232312393
BaseRepresentation
bin1010100001101001…
…0110111101111000
321021220122100210100
42220122112331320
521241310411404
61144211515400
7130006126104
oct25032267570
97256570710
102825482104
11121aa02585
1266a2b8b60
133604aca03
141cb378904
151180bed39
hexa8696f78

2825482104 has 144 divisors (see below), whose sum is σ = 8261023680. Its totient is φ = 871453440.

The previous prime is 2825482091. The next prime is 2825482117. The reversal of 2825482104 is 4012845282.

2825482104 is a `hidden beast` number, since 2 + 8 + 2 + 548 + 2 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (2825482091) and next prime (2825482117).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1179532 + ... + 1181924.

It is an arithmetic number, because the mean of its divisors is an integer number (57368220).

Almost surely, 22825482104 is an apocalyptic number.

2825482104 is a gapful number since it is divisible by the number (24) 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 2825482104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130511840).

2825482104 is an abundant number, since it is smaller than the sum of its proper divisors (5435541576).

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

2825482104 is a wasteful number, since it uses less digits than its factorization.

2825482104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2825482104 is about 53155.2641231327. The cubic root of 2825482104 is about 1413.7225551268.

The spelling of 2825482104 in words is "two billion, eight hundred twenty-five million, four hundred eighty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 529 552 558 713 744 828 1058 1116 1426 1587 1656 2116 2139 2232 2393 2852 3174 4232 4278 4761 4786 5704 6348 6417 7179 8556 9522 9572 12696 12834 14358 16399 17112 19044 19144 21537 25668 28716 32798 38088 43074 49197 51336 55039 57432 65596 74183 86148 98394 110078 131192 147591 148366 165117 172296 196788 220156 222549 295182 296732 330234 393576 440312 445098 495351 590364 593464 660468 667647 890196 990702 1180728 1265897 1320936 1335294 1706209 1780392 1981404 2531794 2670588 3412418 3797691 3962808 5063588 5118627 5341176 6824836 7595382 10127176 10237254 11393073 13649672 15190764 15355881 20474508 22786146 30381528 30711762 39242807 40949016 45572292 61423524 78485614 91144584 117728421 122847048 156971228 235456842 313942456 353185263 470913684 706370526 941827368 1412741052 2825482104