Search a number
-
+
73983144 = 23324112791
BaseRepresentation
bin1000110100011…
…10010010101000
312011012201210110
410122032102220
5122414430034
611201414320
71555563204
oct432162250
9164181713
1073983144
11388416a4
122093a3a0
1312434811
149b7bb04
156765de9
hex468e4a8

73983144 has 32 divisors (see below), whose sum is σ = 185739840. Its totient is φ = 24556800.

The previous prime is 73983139. The next prime is 73983187. The reversal of 73983144 is 44138937.

It is a super-2 number, since 2×739831442 = 10947011192249472, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 612 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (5804370).

Almost surely, 273983144 is an apocalyptic number.

It is an amenable number.

73983144 is an abundant number, since it is smaller than the sum of its proper divisors (111756696).

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

73983144 is a wasteful number, since it uses less digits than its factorization.

73983144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13041 (or 13037 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 73983144 is about 8601.3454761450. The cubic root of 73983144 is about 419.8017658614.

The spelling of 73983144 in words is "seventy-three million, nine hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 241 482 723 964 1446 1928 2892 5784 12791 25582 38373 51164 76746 102328 153492 306984 3082631 6165262 9247893 12330524 18495786 24661048 36991572 73983144