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73218048 = 211317701
BaseRepresentation
bin1000101110100…
…11100000000000
312002202212021120
410113103200000
5122220434143
611133152240
71546225461
oct427234000
9162685246
1073218048
1138369892
122062b680
13122274b7
149a1cd68
156664383
hex45d3800

73218048 has 96 divisors (see below), whose sum is σ = 206977680. Its totient is φ = 22937600.

The previous prime is 73218029. The next prime is 73218059. The reversal of 73218048 is 84081237.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104098 + ... + 104798.

Almost surely, 273218048 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 73218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488840).

73218048 is an abundant number, since it is smaller than the sum of its proper divisors (133759632).

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

73218048 is a wasteful number, since it uses less digits than its factorization.

73218048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 73218048 is about 8556.7545249353. The cubic root of 73218048 is about 418.3496231635.

The spelling of 73218048 in words is "seventy-three million, two hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 701 768 816 1024 1088 1402 1536 1632 2048 2103 2176 2804 3072 3264 4206 4352 5608 6144 6528 8412 8704 11216 11917 13056 16824 17408 22432 23834 26112 33648 34816 35751 44864 47668 52224 67296 71502 89728 95336 104448 134592 143004 179456 190672 269184 286008 358912 381344 538368 572016 717824 762688 1076736 1144032 1435648 1525376 2153472 2288064 3050752 4306944 4576128 6101504 9152256 12203008 18304512 24406016 36609024 73218048