Search a number
-
+
73938474 = 23317239337
BaseRepresentation
bin1000110100000…
…11011000101010
312011010110112000
410122003120222
5122412012344
611200431430
71555316031
oct432033052
9164113460
1073938474
1138811085
1220918576
131241a39c
149b69718
156757a69
hex468362a

73938474 has 64 divisors (see below), whose sum is σ = 175219200. Its totient is φ = 23030784.

The previous prime is 73938451. The next prime is 73938523. The reversal of 73938474 is 47483937.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 219234 + ... + 219570.

It is an arithmetic number, because the mean of its divisors is an integer number (2737800).

Almost surely, 273938474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73938474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

73938474 is an abundant number, since it is smaller than the sum of its proper divisors (101280726).

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

73938474 is a wasteful number, since it uses less digits than its factorization.

73938474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 73938474 is about 8598.7483972960. The cubic root of 73938474 is about 419.7172586827.

The spelling of 73938474 in words is "seventy-three million, nine hundred thirty-eight thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 239 306 337 459 478 674 717 918 1011 1434 2022 2151 3033 4063 4302 5729 6066 6453 8126 9099 11458 12189 12906 17187 18198 24378 34374 36567 51561 73134 80543 103122 109701 154683 161086 219402 241629 309366 483258 724887 1369231 1449774 2174661 2738462 4107693 4349322 8215386 12323079 24646158 36969237 73938474