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73809225 = 3452741127
BaseRepresentation
bin1000110011000…
…11110101001001
312010212220020000
410121203311021
5122343343400
611153553213
71554240150
oct431436511
9163786200
1073809225
1138732a66
1220875809
13123a35c9
149b34597
15672e600
hex4663d49

73809225 has 120 divisors (see below), whose sum is σ = 161323008. Its totient is φ = 32659200.

The previous prime is 73809193. The next prime is 73809251. The reversal of 73809225 is 52290837.

It is a happy number.

It is not a de Polignac number, because 73809225 - 25 = 73809193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73809225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 581112 + ... + 581238.

Almost surely, 273809225 is an apocalyptic number.

73809225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73809225 is an abundant number, since it is smaller than the sum of its proper divisors (87513783).

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

73809225 is a wasteful number, since it uses less digits than its factorization.

73809225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

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

The square root of 73809225 is about 8591.2295394780. The cubic root of 73809225 is about 419.4725521792.

The spelling of 73809225 in words is "seventy-three million, eight hundred nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 41 45 63 75 81 105 123 127 135 175 189 205 225 287 315 369 381 405 525 567 615 635 675 861 889 945 1025 1107 1143 1435 1575 1845 1905 2025 2583 2667 2835 3075 3175 3321 3429 4305 4445 4725 5207 5535 5715 7175 7749 8001 9225 9525 10287 12915 13335 14175 15621 16605 17145 21525 22225 23247 24003 26035 27675 28575 36449 38745 40005 46863 51435 64575 66675 72009 78105 83025 85725 109347 116235 120015 130175 140589 182245 193725 200025 234315 257175 328041 360045 390525 421767 546735 581175 600075 702945 911225 984123 1171575 1640205 1800225 2108835 2733675 2952369 3514725 4920615 8201025 10544175 14761845 24603075 73809225