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73863132 = 22374753353
BaseRepresentation
bin1000110011100…
…00111111011100
312010222122011120
410121300333130
5122402110012
611155050540
71554553260
oct431607734
9163878146
1073863132
113876a512
12208a0a50
13123c1cc5
149b4a0a0
15674058c
hex4670fdc

73863132 has 96 divisors (see below), whose sum is σ = 205535232. Its totient is φ = 20207616.

The previous prime is 73863109. The next prime is 73863133. The reversal of 73863132 is 23136837.

It is a junction number, because it is equal to n+sod(n) for n = 73863093 and 73863102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73863133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209068 + ... + 209420.

It is an arithmetic number, because the mean of its divisors is an integer number (2140992).

Almost surely, 273863132 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 73863132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102767616).

73863132 is an abundant number, since it is smaller than the sum of its proper divisors (131672100).

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

73863132 is a wasteful number, since it uses less digits than its factorization.

73863132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 73863132 is about 8594.3662942651. The cubic root of 73863132 is about 419.5746487398.

Adding to 73863132 its reverse (23136837), we get a palindrome (96999969).

The spelling of 73863132 in words is "seventy-three million, eight hundred sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 53 84 94 106 141 159 188 212 282 318 329 353 371 564 636 658 706 742 987 1059 1113 1316 1412 1484 1974 2118 2226 2471 2491 3948 4236 4452 4942 4982 7413 7473 9884 9964 14826 14946 16591 17437 18709 29652 29892 33182 34874 37418 49773 52311 56127 66364 69748 74836 99546 104622 112254 116137 130963 199092 209244 224508 232274 261926 348411 392889 464548 523852 696822 785778 879323 1393644 1571556 1758646 2637969 3517292 5275938 6155261 10551876 12310522 18465783 24621044 36931566 73863132