Search a number
-
+
73143008 = 2519592039
BaseRepresentation
bin1000101110000…
…01001011100000
312002122001100022
410113001023200
5122211034013
611131413012
71545463631
oct427011340
9162561308
1073143008
1138318474
12205b4168
13121cc2b3
1499dd888
15664c008
hex45c12e0

73143008 has 48 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 34042752.

The previous prime is 73143001. The next prime is 73143023. The reversal of 73143008 is 80034137.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73143001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34853 + ... + 36891.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 273143008 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 73143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

73143008 is an abundant number, since it is smaller than the sum of its proper divisors (81080992).

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

73143008 is a wasteful number, since it uses less digits than its factorization.

73143008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 73143008 is about 8552.3685608140. The cubic root of 73143008 is about 418.2066543764.

The spelling of 73143008 in words is "seventy-three million, one hundred forty-three thousand, eight".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2039 2242 4078 4484 8156 8968 16312 17936 32624 35872 38741 65248 77482 120301 154964 240602 309928 481204 619856 962408 1239712 1924816 2285719 3849632 4571438 9142876 18285752 36571504 73143008