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73242873 = 351124753
BaseRepresentation
bin1000101110110…
…01100011111001
312002211010100000
410113121203321
5122222232443
611133503213
71546361034
oct427314371
9162733300
1073242873
1138386500
1220641b09
13122358a2
149a2801b
15666b8d3
hex45d98f9

73242873 has 72 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 42625440.

The previous prime is 73242839. The next prime is 73242901. The reversal of 73242873 is 37824237.

It is not a de Polignac number, because 73242873 - 26 = 73242809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73242823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1381915 + ... + 1381967.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 273242873 is an apocalyptic number.

It is an amenable number.

73242873 is a deficient number, since it is larger than the sum of its proper divisors (52241031).

73242873 is a wasteful number, since it uses less digits than its factorization.

73242873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 73242873 is about 8558.2050103979. The cubic root of 73242873 is about 418.3968991023.

The spelling of 73242873 in words is "seventy-three million, two hundred forty-two thousand, eight hundred seventy-three".

Divisors: 1 3 9 11 27 33 47 53 81 99 121 141 159 243 297 363 423 477 517 583 891 1089 1269 1431 1551 1749 2491 2673 3267 3807 4293 4653 5247 5687 6413 7473 9801 11421 12879 13959 15741 17061 19239 22419 27401 29403 41877 47223 51183 57717 67257 82203 125631 141669 153549 173151 201771 246609 301411 460647 519453 605313 739827 904233 1381941 1558359 2219481 2712699 6658443 8138097 24414291 73242873