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73000032 = 2537108631
BaseRepresentation
bin1000101100111…
…10010001100000
312002100210012220
410112132101200
5122142000112
611124351040
71544330040
oct426362140
9162323186
1073000032
1138230006
1220545480
131217c1b1
1499a3720
15661e98c
hex459e460

73000032 has 48 divisors (see below), whose sum is σ = 219002112. Its totient is φ = 20856960.

The previous prime is 73000019. The next prime is 73000043. The reversal of 73000032 is 23000037.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 72999975 and 73000020.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53644 + ... + 54987.

It is an arithmetic number, because the mean of its divisors is an integer number (4562544).

Almost surely, 273000032 is an apocalyptic number.

It is an amenable number.

73000032 is an abundant number, since it is smaller than the sum of its proper divisors (146002080).

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

73000032 is a wasteful number, since it uses less digits than its factorization.

73000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108651 (or 108643 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 73000032 is about 8544.0056179757. The cubic root of 73000032 is about 417.9339807061.

Adding to 73000032 its reverse (23000037), we get a palindrome (96000069).

The spelling of 73000032 in words is "seventy-three million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 108631 217262 325893 434524 651786 760417 869048 1303572 1520834 1738096 2281251 2607144 3041668 3476192 4562502 5214288 6083336 9125004 10428576 12166672 18250008 24333344 36500016 73000032