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73029450 = 235213172203
BaseRepresentation
bin1000101101001…
…01011101001010
312002102021120110
410112211131022
5122143420300
611125135150
71544511564
oct426453512
9162367513
1073029450
113825011a
122055a4b6
131218c6c0
1499b0334
156628550
hex45a574a

73029450 has 96 divisors (see below), whose sum is σ = 206611776. Its totient is φ = 16911360.

The previous prime is 73029449. The next prime is 73029461. The reversal of 73029450 is 5492037.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 32049 + ... + 34251.

It is an arithmetic number, because the mean of its divisors is an integer number (2152206).

Almost surely, 273029450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73029450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103305888).

73029450 is an abundant number, since it is smaller than the sum of its proper divisors (133582326).

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

73029450 is a wasteful number, since it uses less digits than its factorization.

73029450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 73029450 is about 8545.7270024264. The cubic root of 73029450 is about 417.9901136982.

The spelling of 73029450 in words is "seventy-three million, twenty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 85 102 130 150 170 195 221 255 325 390 425 442 510 650 663 850 975 1105 1275 1326 1950 2203 2210 2550 3315 4406 5525 6609 6630 11015 11050 13218 16575 22030 28639 33045 33150 37451 55075 57278 66090 74902 85917 110150 112353 143195 165225 171834 187255 224706 286390 330450 374510 429585 486863 561765 715975 859170 936275 973726 1123530 1431950 1460589 1872550 2147925 2434315 2808825 2921178 4295850 4868630 5617650 7302945 12171575 14605890 24343150 36514725 73029450