Search a number
-
+
73238928 = 2437231139
BaseRepresentation
bin1000101110110…
…00100110010000
312002210220220220
410113120212100
5122222121203
611133433040
71546343400
oct427304620
9162726826
1073238928
1138383544
122063b780
1312233b59
149a26800
15666a653
hex45d8990

73238928 has 60 divisors (see below), whose sum is σ = 220097520. Its totient is φ = 20924736.

The previous prime is 73238927. The next prime is 73238959. The reversal of 73238928 is 82983237.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 73238928.

It is not an unprimeable number, because it can be changed into a prime (73238927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13218 + ... + 17921.

It is an arithmetic number, because the mean of its divisors is an integer number (3668292).

Almost surely, 273238928 is an apocalyptic number.

It is an amenable number.

73238928 is an abundant number, since it is smaller than the sum of its proper divisors (146858592).

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

73238928 is a wasteful number, since it uses less digits than its factorization.

73238928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31164 (or 31151 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 73238928 is about 8557.9745267207. The cubic root of 73238928 is about 418.3893870840.

The spelling of 73238928 in words is "seventy-three million, two hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 31139 62278 93417 124556 186834 217973 249112 373668 435946 498224 653919 747336 871892 1307838 1494672 1525811 1743784 2615676 3051622 3487568 4577433 5231352 6103244 9154866 10462704 12206488 18309732 24412976 36619464 73238928