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73048122 = 23372191453
BaseRepresentation
bin1000101101010…
…10000000111010
312002110020012000
410112222000322
5122200014442
611125401430
71544620200
oct426520072
9162406160
1073048122
1138263154
1220569276
1312198054
1499b7070
15662dd4c
hex45aa03a

73048122 has 96 divisors (see below), whose sum is σ = 198907200. Its totient is φ = 19758816.

The previous prime is 73048097. The next prime is 73048127. The reversal of 73048122 is 22184037.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73048127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49548 + ... + 51000.

It is an arithmetic number, because the mean of its divisors is an integer number (2071950).

Almost surely, 273048122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73048122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99453600).

73048122 is an abundant number, since it is smaller than the sum of its proper divisors (125859078).

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

73048122 is a wasteful number, since it uses less digits than its factorization.

73048122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73048122 is about 8546.8194084115. The cubic root of 73048122 is about 418.0257342428.

The spelling of 73048122 in words is "seventy-three million, forty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 441 513 798 882 931 1026 1197 1323 1453 1862 2394 2646 2793 2906 3591 4359 5586 7182 8379 8718 10171 13077 16758 20342 25137 26154 27607 30513 39231 50274 55214 61026 71197 78462 82821 91539 142394 165642 183078 193249 213591 248463 274617 386498 427182 496926 549234 579747 640773 745389 1159494 1281546 1352743 1490778 1739241 1922319 2705486 3478482 3844638 4058229 5217723 8116458 10435446 12174687 24349374 36524061 73048122