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73038256 = 24172631021
BaseRepresentation
bin1000101101001…
…11100110110000
312002102201122121
410112213212300
5122144211011
611125244024
71544546344
oct426474660
9162381577
1073038256
11382567a5
1220563614
1312193705
1499b3624
15662ae71
hex45a79b0

73038256 has 40 divisors (see below), whose sum is σ = 150552864. Its totient is φ = 34206720.

The previous prime is 73038233. The next prime is 73038281. The reversal of 73038256 is 65283037.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 71026 + ... + 72046.

Almost surely, 273038256 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 73038256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75276432).

73038256 is an abundant number, since it is smaller than the sum of its proper divisors (77514608).

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

73038256 is a wasteful number, since it uses less digits than its factorization.

73038256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 73038256 is about 8546.2422151493. The cubic root of 73038256 is about 418.0069136468.

The spelling of 73038256 in words is "seventy-three million, thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 263 272 526 1021 1052 2042 2104 4084 4208 4471 8168 8942 16336 17357 17884 34714 35768 69428 71536 138856 268523 277712 537046 1074092 2148184 4296368 4564891 9129782 18259564 36519128 73038256