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73098048 = 2632316553
BaseRepresentation
bin1000101101101…
…10001101000000
312002112202200010
410112312031000
5122203114143
611130424520
71545215562
oct426661500
9162482603
1073098048
1138297711
1220592140
13121b49aa
1499cb332
15663da33
hex45b6340

73098048 has 56 divisors (see below), whose sum is σ = 201826368. Its totient is φ = 23305216.

The previous prime is 73098023. The next prime is 73098061. The reversal of 73098048 is 84089037.

It is a junction number, because it is equal to n+sod(n) for n = 73097997 and 73098015.

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, 3861 + ... + 12692.

Almost surely, 273098048 is an apocalyptic number.

It is an amenable number.

73098048 is an abundant number, since it is smaller than the sum of its proper divisors (128728320).

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

73098048 is a wasteful number, since it uses less digits than its factorization.

73098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591 (or 16581 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 73098048 is about 8549.7396451588. The cubic root of 73098048 is about 418.1209481890.

The spelling of 73098048 in words is "seventy-three million, ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 16553 33106 49659 66212 99318 132424 198636 264848 380719 397272 529696 761438 794544 1059392 1142157 1522876 1589088 2284314 3045752 3178176 4568628 6091504 9137256 12183008 18274512 24366016 36549024 73098048