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73049850 = 23452171061
BaseRepresentation
bin1000101101010…
…10011011111010
312002110022120000
410112222123322
5122200043400
611125413430
71544625216
oct426523372
9162408500
1073049850
1138264485
122056a276
1312198a83
1499b7946
15662e600
hex45aa6fa

73049850 has 120 divisors (see below), whose sum is σ = 215112348. Its totient is φ = 18316800.

The previous prime is 73049843. The next prime is 73049861. The reversal of 73049850 is 5894037.

It can be written as a sum of positive squares in 6 ways, for example, as 42810849 + 30239001 = 6543^2 + 5499^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68320 + ... + 69380.

Almost surely, 273049850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73049850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107556174).

73049850 is an abundant number, since it is smaller than the sum of its proper divisors (142062498).

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

73049850 is a wasteful number, since it uses less digits than its factorization.

73049850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73049850 is about 8546.9204980507. The cubic root of 73049850 is about 418.0290304388.

The spelling of 73049850 in words is "seventy-three million, forty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 255 270 306 405 425 450 459 510 675 765 810 850 918 1061 1275 1350 1377 1530 2025 2122 2295 2550 2754 3183 3825 4050 4590 5305 6366 6885 7650 9549 10610 11475 13770 15915 18037 19098 22950 26525 28647 31830 34425 36074 47745 53050 54111 57294 68850 79575 85941 90185 95490 108222 143235 159150 162333 171882 180370 238725 270555 286470 324666 429705 450925 477450 486999 541110 716175 811665 859410 901850 973998 1352775 1432350 1460997 1623330 2148525 2434995 2705550 2921994 4058325 4297050 4869990 7304985 8116650 12174975 14609970 24349950 36524925 73049850