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76048245 = 3257313379
BaseRepresentation
bin1001000100001…
…10011101110101
312022002122120200
410202012131311
5123432020440
611313551113
71612254000
oct442063565
9168078520
1076048245
1139a22199
1221575499
13129a8780
14a158537
156a22c30
hex4886775

76048245 has 96 divisors (see below), whose sum is σ = 165984000. Its totient is φ = 32006016.

The previous prime is 76048211. The next prime is 76048249. The reversal of 76048245 is 54284067.

76048245 is a `hidden beast` number, since 7 + 604 + 8 + 2 + 45 = 666.

It is not a de Polignac number, because 76048245 - 27 = 76048117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76048249) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 200466 + ... + 200844.

It is an arithmetic number, because the mean of its divisors is an integer number (1729000).

Almost surely, 276048245 is an apocalyptic number.

It is an amenable number.

76048245 is an abundant number, since it is smaller than the sum of its proper divisors (89935755).

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

76048245 is a wasteful number, since it uses less digits than its factorization.

76048245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 76048245 is about 8720.5644886097. The cubic root of 76048245 is about 423.6719698649.

The spelling of 76048245 in words is "seventy-six million, forty-eight thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 343 379 441 455 585 637 735 819 1029 1137 1365 1715 1895 1911 2205 2653 3087 3185 3411 4095 4459 4927 5145 5685 5733 7959 9555 13265 13377 14781 15435 17055 18571 22295 23877 24635 28665 34489 39795 40131 44343 55713 66885 73905 92855 103467 119385 129997 167139 172445 200655 221715 241423 278565 310401 389991 517335 649985 724269 835695 1169973 1207115 1552005 1689961 1949955 2172807 3621345 5069883 5849865 8449805 10864035 15209649 25349415 76048245