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73045424 = 24192331337
BaseRepresentation
bin1000101101010…
…01010110110000
312002110002111002
410112221112300
5122144423144
611125341132
71544606264
oct426512660
9162402432
1073045424
1138261121
12205677a8
1312196a5a
1499b60a4
15662d14e
hex45a95b0

73045424 has 80 divisors (see below), whose sum is σ = 160942080. Its totient is φ = 31933440.

The previous prime is 73045409. The next prime is 73045429. The reversal of 73045424 is 42454037.

It is not an unprimeable number, because it can be changed into a prime (73045429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216584 + ... + 216920.

It is an arithmetic number, because the mean of its divisors is an integer number (2011776).

Almost surely, 273045424 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 73045424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471040).

73045424 is an abundant number, since it is smaller than the sum of its proper divisors (87896656).

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

73045424 is a wasteful number, since it uses less digits than its factorization.

73045424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 73045424 is about 8546.6615704613. The cubic root of 73045424 is about 418.0205876477.

The spelling of 73045424 in words is "seventy-three million, forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 31 38 46 62 76 92 124 152 184 248 304 337 368 437 496 589 674 713 874 1178 1348 1426 1748 2356 2696 2852 3496 4712 5392 5704 6403 6992 7751 9424 10447 11408 12806 13547 15502 20894 25612 27094 31004 41788 51224 54188 62008 83576 102448 108376 124016 147269 167152 198493 216752 240281 294538 396986 480562 589076 793972 961124 1178152 1587944 1922248 2356304 3175888 3844496 4565339 9130678 18261356 36522712 73045424