Search a number
-
+
46240425 = 325271117157
BaseRepresentation
bin1011000001100…
…1001010101001
310020000020221100
42300121022221
543314143200
64331032013
71101015510
oct260311251
9106006840
1046240425
1124113130
121359b609
1397700ca
1461d9677
1540d5d00
hex2c192a9

46240425 has 144 divisors (see below), whose sum is σ = 110028672. Its totient is φ = 17971200.

The previous prime is 46240423. The next prime is 46240427. The reversal of 46240425 is 52404264.

It is an interprime number because it is at equal distance from previous prime (46240423) and next prime (46240427).

It is not a de Polignac number, because 46240425 - 21 = 46240423 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46240423) 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 143 ways as a sum of consecutive naturals, for example, 294447 + ... + 294603.

It is an arithmetic number, because the mean of its divisors is an integer number (764088).

Almost surely, 246240425 is an apocalyptic number.

46240425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46240425 is an abundant number, since it is smaller than the sum of its proper divisors (63788247).

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

46240425 is a wasteful number, since it uses less digits than its factorization.

46240425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 46240425 is about 6800.0312499282. The cubic root of 46240425 is about 358.9279449225.

Adding to 46240425 its reverse (52404264), we get a palindrome (98644689).

It can be divided in two parts, 46240 and 425, that added together give a triangular number (46665 = T305).

The spelling of 46240425 in words is "forty-six million, two hundred forty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 17 21 25 33 35 45 51 55 63 75 77 85 99 105 119 153 157 165 175 187 225 231 255 275 315 357 385 425 471 495 525 561 595 693 765 785 825 935 1071 1099 1155 1275 1309 1413 1575 1683 1727 1785 1925 2355 2475 2669 2805 2975 3297 3465 3825 3925 3927 4675 5181 5355 5495 5775 6545 7065 8007 8415 8635 8925 9891 11775 11781 12089 13345 14025 15543 16485 17325 18683 19635 24021 25905 26775 27475 29359 32725 35325 36267 40035 42075 43175 49455 56049 58905 60445 66725 77715 82425 88077 93415 98175 108801 120105 129525 146795 168147 181335 200175 205513 247275 264231 280245 294525 302225 388575 440385 467075 544005 600525 616539 733975 840735 906675 1027565 1321155 1401225 1849617 2201925 2720025 3082695 4203675 5137825 6605775 9248085 15413475 46240425