Search a number
-
+
71794404 = 223311223271
BaseRepresentation
bin1000100011101…
…11111011100100
312000002112102000
410101313323210
5121334410104
611042445300
71531146063
oct421677344
9160075360
1071794404
1137587220
1220063830
1311b494c6
14976c1da
156482639
hex4477ee4

71794404 has 96 divisors (see below), whose sum is σ = 204718080. Its totient is φ = 21578400.

The previous prime is 71794381. The next prime is 71794409. The reversal of 71794404 is 40449717.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71794409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264789 + ... + 265059.

It is an arithmetic number, because the mean of its divisors is an integer number (2132480).

Almost surely, 271794404 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 71794404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102359040).

71794404 is an abundant number, since it is smaller than the sum of its proper divisors (132923676).

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

71794404 is a wasteful number, since it uses less digits than its factorization.

71794404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 71794404 is about 8473.1578528905. The cubic root of 71794404 is about 415.6204084819.

The spelling of 71794404 in words is "seventy-one million, seven hundred ninety-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 223 271 297 396 446 542 594 669 813 892 1084 1188 1338 1626 2007 2439 2453 2676 2981 3252 4014 4878 4906 5962 6021 7317 7359 8028 8943 9756 9812 11924 12042 14634 14718 17886 22077 24084 26829 29268 29436 35772 44154 53658 60433 66231 80487 88308 107316 120866 132462 160974 181299 241732 264924 321948 362598 543897 664763 725196 1087794 1329526 1631691 1994289 2175588 2659052 3263382 3988578 5982867 6526764 7977156 11965734 17948601 23931468 35897202 71794404