Search a number
-
+
3427897725 = 35527149541
BaseRepresentation
bin1100110001010001…
…1001000101111101
322211220012020200000
43030110121011331
524010020211400
61324051424513
7150642435630
oct31424310575
98756166600
103427897725
1114a9a6032a
127b7bb5139
13428242c65
1424738dc17
15150e18600
hexcc51917d

3427897725 has 144 divisors (see below), whose sum is σ = 7339113600. Its totient is φ = 1553644800.

The previous prime is 3427897723. The next prime is 3427897741. The reversal of 3427897725 is 5277987243.

3427897725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3427897725 - 21 = 3427897723 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427897721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6335955 + ... + 6336495.

Almost surely, 23427897725 is an apocalyptic number.

3427897725 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3427897725 is an abundant number, since it is smaller than the sum of its proper divisors (3911215875).

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

3427897725 is a wasteful number, since it uses less digits than its factorization.

3427897725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 705 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 3427897725 is about 58548.2512548411. The cubic root of 3427897725 is about 1507.7961102445.

The spelling of 3427897725 in words is "three billion, four hundred twenty-seven million, eight hundred ninety-seven thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 149 175 189 225 243 315 405 447 525 541 567 675 745 945 1043 1215 1341 1575 1623 1701 2025 2235 2705 2835 3129 3725 3787 4023 4725 4869 5215 6075 6705 8115 8505 9387 11175 11361 12069 13525 14175 14607 15645 18935 20115 24345 26075 28161 33525 34083 36207 40575 42525 43821 46935 56805 60345 73035 78225 80609 84483 94675 100575 102249 121725 131463 140805 170415 181035 219105 234675 241827 253449 284025 301725 306747 365175 403045 422415 511245 564263 657315 704025 725481 852075 905175 920241 1095525 1209135 1267245 1533735 1692789 2015225 2112075 2176443 2556225 2821315 3286575 3627405 4601205 5078367 6045675 6336225 6529329 7668675 8463945 10882215 14106575 15235101 18137025 19587987 23006025 25391835 32646645 42319725 45705303 54411075 76175505 97939935 126959175 137115909 163233225 228526515 380877525 489699675 685579545 1142632575 3427897725