Search a number
-
+
450035424 = 25321725407
BaseRepresentation
bin11010110100101…
…111111011100000
31011100211011112200
4122310233323200
51410202113144
6112353453200
714103144426
oct3264577340
91140734480
10450035424
11211040303
12106871200
137230cb67
1443aab116
1529798c69
hex1ad2fee0

450035424 has 108 divisors (see below), whose sum is σ = 1359749664. Its totient is φ = 141161472.

The previous prime is 450035423. The next prime is 450035431. The reversal of 450035424 is 424530054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450035423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80529 + ... + 85935.

Almost surely, 2450035424 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 450035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679874832).

450035424 is an abundant number, since it is smaller than the sum of its proper divisors (909714240).

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

450035424 is a wasteful number, since it uses less digits than its factorization.

450035424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 450035424 is about 21214.0383708524. The cubic root of 450035424 is about 766.3295398254.

Adding to 450035424 its reverse (424530054), we get a palindrome (874565478).

The spelling of 450035424 in words is "four hundred fifty million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 5202 5407 6936 9248 10404 10814 13872 16221 20808 21628 27744 32442 41616 43256 48663 64884 83232 86512 91919 97326 129768 173024 183838 194652 259536 275757 367676 389304 519072 551514 735352 778608 827271 1103028 1470704 1557216 1562623 1654542 2206056 2941408 3125246 3309084 4412112 4687869 6250492 6618168 8824224 9375738 12500984 13236336 14063607 18751476 25001968 26472672 28127214 37502952 50003936 56254428 75005904 112508856 150011808 225017712 450035424