Search a number
-
+
73055744 = 29971471
BaseRepresentation
bin1000101101010…
…11111000000000
312002110121122022
410112223320000
5122200240434
611125501012
71544651336
oct426537000
9162417568
1073055744
1138268953
1220571768
131219b668
1499b9b56
15663122e
hex45abe00

73055744 has 40 divisors (see below), whose sum is σ = 147573888. Its totient is φ = 36126720.

The previous prime is 73055713. The next prime is 73055761. The reversal of 73055744 is 44755037.

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 3 ways as a sum of consecutive naturals, for example, 48929 + ... + 50399.

Almost surely, 273055744 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 73055744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73786944).

73055744 is an abundant number, since it is smaller than the sum of its proper divisors (74518144).

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

73055744 is an equidigital number, since it uses as much as digits as its factorization.

73055744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 73055744 is about 8547.2652936480. The cubic root of 73055744 is about 418.0402729754.

The spelling of 73055744 in words is "seventy-three million, fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1471 1552 2942 3104 5884 6208 11768 12416 23536 24832 47072 49664 94144 142687 188288 285374 376576 570748 753152 1141496 2282992 4565984 9131968 18263936 36527872 73055744